How to Find GCF of 496/530, 980/109, 349/778?

GCF of 496/530, 980/109, 349/778

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 496/530, 980/109, 349/778 i.e 1/22472530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 496/530, 980/109, 349/778.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 496/530,980/109,349/778?

Given fractions are 496/530,980/109,349/778

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 496/530,980/109,349/778, numerators are 496,980,349

Denominators are 530,109,778

The GCF of 496,980,349 is 1 .

LCM of 530,109,778 is 22472530.

The greatest common factor of 496/530,980/109,349/778 = [GCF of 496,980,349]/[LCM of 530,109,778]= 1/22472530

Therefore, the GCF of 496/530,980/109,349/778 is 1/22472530.

Greatest Common Factor of 496,980,349

To find the highest common factor of 496,980,349, we have to find the factors of both numbers and list the highest common factor.

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

The factors of 349 are 1, 349

The HCF of 496,980,349 is 1.

Lets's calculate GCF of 496,980,349

Greatest Common Factor (GCF) of 496,980,349 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 496,980,349 By Matching Biggest Common Factor Method

Now, list down the factors of 496

1,2,4,8,16,31,62,124,248,496

Now, list down the factors of 980

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Now, list down the factors of 349

1,349

Greatest Common Factor

We found the factors 496,980,349 . The biggest common factor number is the GCF number.
So the greatest common factor 496,980,349 is 1.

Lets's calculate LCM of 530,109,778

Lowest Common Multiple of 530,109,778 using Common Division

2	530, 109, 778
	265, 109, 389

∴ So the LCM of the given numbers is 2 x 265 x 109 x 389 = 22472530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22472530

Therefore, the GCF of Fractions 496/530,980/109,349/778 is 1/22472530

Least Common Multiple of 530,109,778 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 530,109,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,109,778) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(530,109,778) x common factors =1 x 2 = 2

LCM(530,109,778) = ( 530 × 109 × 778 ) / 2

LCM(530,109,778) = 44945060 / 2

LCM(530,109,778) = 22472530

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 496/530, 980/109, 349/778

1. What is the HCF of 496,980,349?

The HCF of 496,980,349 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 496/530, 980/109, 349/778?

Answer: GCF of Numerators as per given numbers 496/530, 980/109, 349/778 is

GCF of Numerators i.e. for 496,980,349 is 1

LCM of denominators i.e. for 530,109,778 is 22472530.

Thus, GCF of Fractions is 1/22472530.Finally, GCF of Fractions for 496/530, 980/109, 349/778 is 1/22472530.