How to Find GCF of 70/494, 4481/5421?

GCF of 70/494, 4481/5421

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 70/494, 4481/5421 i.e 1/205998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/494, 4481/5421.

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 70/494,4481/5421?

Given fractions are 70/494,4481/5421

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 70/494,4481/5421, numerators are 70,4481

Denominators are 494,5421

The GCF of 70,4481 is 1 .

LCM of 494,5421 is 205998.

The greatest common factor of 70/494,4481/5421 = [GCF of 70,4481]/[LCM of 494,5421]= 1/205998

Therefore, the GCF of 70/494,4481/5421 is 1/205998.

Greatest Common Factor of 70,4481

To find the highest common factor of 70,4481, we have to find the factors of both numbers and list the highest common factor.

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70

The factors of 4481 are 1, 4481

The HCF of 70,4481 is 1.

Lets's calculate GCF of 70,4481

Greatest Common Factor (GCF) of 70,4481 By Common Division

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

Greatest Common Factor of 70,4481 By Matching Biggest Common Factor Method

Now, list down the factors of 70

1,2,5,7,10,14,35,70

Now, list down the factors of 4481

1,4481

Greatest Common Factor

We found the factors 70,4481 . The biggest common factor number is the GCF number.
So the greatest common factor 70,4481 is 1.

Lets's calculate LCM of 494,5421

Lowest Common Multiple of 494,5421 using Common Division

13	494, 5421
	38, 417

∴ So the LCM of the given numbers is 13 x 38 x 417 = 205998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205998

Therefore, the GCF of Fractions 70/494,4481/5421 is 1/205998

Least Common Multiple of 494,5421 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 494,5421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,5421) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(494,5421) x common factors =13 x 1 = 13

LCM(494,5421) = ( 494 × 5421 ) / 13

LCM(494,5421) = 2677974 / 13

LCM(494,5421) = 205998

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FAQs on GCF of Fractions of 70/494, 4481/5421

1. What is the HCF of 70,4481?

The HCF of 70,4481 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 70/494, 4481/5421?

Answer: GCF of Numerators as per given numbers 70/494, 4481/5421 is

GCF of Numerators i.e. for 70,4481 is 1

LCM of denominators i.e. for 494,5421 is 205998.

Thus, GCF of Fractions is 1/205998.Finally, GCF of Fractions for 70/494, 4481/5421 is 1/205998.