How to Find GCF of 2494/778, 9710/6845?

GCF of 2494/778, 9710/6845

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 2494/778, 9710/6845 i.e 2/5325410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2494/778, 9710/6845.

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 2494/778,9710/6845?

Given fractions are 2494/778,9710/6845

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 2494/778,9710/6845, numerators are 2494,9710

Denominators are 778,6845

The GCF of 2494,9710 is 2 .

LCM of 778,6845 is 5325410.

The greatest common factor of 2494/778,9710/6845 = [GCF of 2494,9710]/[LCM of 778,6845]= 2/5325410

Therefore, the GCF of 2494/778,9710/6845 is 2/5325410.

Greatest Common Factor of 2494,9710

To find the highest common factor of 2494,9710, we have to find the factors of both numbers and list the highest common factor.

The factors of 2494 are 1, 2, 29, 43, 58, 86, 1247, 2494

The factors of 9710 are 1, 2, 5, 10, 971, 1942, 4855, 9710

The HCF of 2494,9710 is 2.

Lets's calculate GCF of 2494,9710

Greatest Common Factor (GCF) of 2494,9710 By Common Division

2	2494, 9710
	1247, 4855

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2494,9710 By Matching Biggest Common Factor Method

Now, list down the factors of 2494

1,2,29,43,58,86,1247,2494

Now, list down the factors of 9710

1,2,5,10,971,1942,4855,9710

Greatest Common Factor

We found the factors 2494,9710 . The biggest common factor number is the GCF number.
So the greatest common factor 2494,9710 is 2.

Lets's calculate LCM of 778,6845

Lowest Common Multiple of 778,6845 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5325410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5325410

Therefore, the GCF of Fractions 2494/778,9710/6845 is 2/5325410

Least Common Multiple of 778,6845 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 778,6845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,6845) = 1

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

GCF(778,6845) x common factors =1 x 1 = 1

LCM(778,6845) = ( 778 × 6845 ) / 1

LCM(778,6845) = 5325410 / 1

LCM(778,6845) = 5325410

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FAQs on GCF of Fractions of 2494/778, 9710/6845

1. What is the HCF of 2494,9710?

The HCF of 2494,9710 is 2

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 2494/778, 9710/6845?

Answer: GCF of Numerators as per given numbers 2494/778, 9710/6845 is

GCF of Numerators i.e. for 2494,9710 is 2

LCM of denominators i.e. for 778,6845 is 5325410.

Thus, GCF of Fractions is 2/5325410.Finally, GCF of Fractions for 2494/778, 9710/6845 is 2/5325410.