How to Find GCF of 976/379, 8334/3722?

GCF of 976/379, 8334/3722

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 976/379, 8334/3722 i.e 2/1410638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/379, 8334/3722.

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 976/379,8334/3722?

Given fractions are 976/379,8334/3722

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 976/379,8334/3722, numerators are 976,8334

Denominators are 379,3722

The GCF of 976,8334 is 2 .

LCM of 379,3722 is 1410638.

The greatest common factor of 976/379,8334/3722 = [GCF of 976,8334]/[LCM of 379,3722]= 2/1410638

Therefore, the GCF of 976/379,8334/3722 is 2/1410638.

Greatest Common Factor of 976,8334

To find the highest common factor of 976,8334, we have to find the factors of both numbers and list the highest common factor.

The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

The factors of 8334 are 1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334

The HCF of 976,8334 is 2.

Lets's calculate GCF of 976,8334

Greatest Common Factor (GCF) of 976,8334 By Common Division

2	976, 8334
	488, 4167

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

Greatest Common Factor of 976,8334 By Matching Biggest Common Factor Method

Now, list down the factors of 976

1,2,4,8,16,61,122,244,488,976

Now, list down the factors of 8334

1,2,3,6,9,18,463,926,1389,2778,4167,8334

Greatest Common Factor

We found the factors 976,8334 . The biggest common factor number is the GCF number.
So the greatest common factor 976,8334 is 2.

Lets's calculate LCM of 379,3722

Lowest Common Multiple of 379,3722 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1410638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1410638

Therefore, the GCF of Fractions 976/379,8334/3722 is 2/1410638

Least Common Multiple of 379,3722 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 379,3722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,3722) = 1

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

GCF(379,3722) x common factors =1 x 1 = 1

LCM(379,3722) = ( 379 × 3722 ) / 1

LCM(379,3722) = 1410638 / 1

LCM(379,3722) = 1410638

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FAQs on GCF of Fractions of 976/379, 8334/3722

1. What is the HCF of 976,8334?

The HCF of 976,8334 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 976/379, 8334/3722?

Answer: GCF of Numerators as per given numbers 976/379, 8334/3722 is

GCF of Numerators i.e. for 976,8334 is 2

LCM of denominators i.e. for 379,3722 is 1410638.

Thus, GCF of Fractions is 2/1410638.Finally, GCF of Fractions for 976/379, 8334/3722 is 2/1410638.