How to Find GCF of 7837/196, 8757/8440?

GCF of 7837/196, 8757/8440

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 7837/196, 8757/8440 i.e 1/413560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7837/196, 8757/8440.

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 7837/196,8757/8440?

Given fractions are 7837/196,8757/8440

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 7837/196,8757/8440, numerators are 7837,8757

Denominators are 196,8440

The GCF of 7837,8757 is 1 .

LCM of 196,8440 is 413560.

The greatest common factor of 7837/196,8757/8440 = [GCF of 7837,8757]/[LCM of 196,8440]= 1/413560

Therefore, the GCF of 7837/196,8757/8440 is 1/413560.

Greatest Common Factor of 7837,8757

To find the highest common factor of 7837,8757, we have to find the factors of both numbers and list the highest common factor.

The factors of 7837 are 1, 17, 461, 7837

The factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757

The HCF of 7837,8757 is 1.

Lets's calculate GCF of 7837,8757

Greatest Common Factor (GCF) of 7837,8757 By Common Division

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

Greatest Common Factor of 7837,8757 By Matching Biggest Common Factor Method

Now, list down the factors of 7837

1,17,461,7837

Now, list down the factors of 8757

1,3,7,9,21,63,139,417,973,1251,2919,8757

Greatest Common Factor

We found the factors 7837,8757 . The biggest common factor number is the GCF number.
So the greatest common factor 7837,8757 is 1.

Lets's calculate LCM of 196,8440

Lowest Common Multiple of 196,8440 using Common Division

2	196, 8440
2	98, 4220
	49, 2110

∴ So the LCM of the given numbers is 2 x 2 x 49 x 2110 = 413560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413560

Therefore, the GCF of Fractions 7837/196,8757/8440 is 1/413560

Least Common Multiple of 196,8440 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 196,8440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,8440) = 4

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

GCF(196,8440) x common factors =4 x 1 = 4

LCM(196,8440) = ( 196 × 8440 ) / 4

LCM(196,8440) = 1654240 / 4

LCM(196,8440) = 413560

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FAQs on GCF of Fractions of 7837/196, 8757/8440

1. What is the HCF of 7837,8757?

The HCF of 7837,8757 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 7837/196, 8757/8440?

Answer: GCF of Numerators as per given numbers 7837/196, 8757/8440 is

GCF of Numerators i.e. for 7837,8757 is 1

LCM of denominators i.e. for 196,8440 is 413560.

Thus, GCF of Fractions is 1/413560.Finally, GCF of Fractions for 7837/196, 8757/8440 is 1/413560.