How to Find GCF of 851/976, 6780/682?

GCF of 851/976, 6780/682

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 851/976, 6780/682 i.e 1/332816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/976, 6780/682.

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 851/976,6780/682?

Given fractions are 851/976,6780/682

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 851/976,6780/682, numerators are 851,6780

Denominators are 976,682

The GCF of 851,6780 is 1 .

LCM of 976,682 is 332816.

The greatest common factor of 851/976,6780/682 = [GCF of 851,6780]/[LCM of 976,682]= 1/332816

Therefore, the GCF of 851/976,6780/682 is 1/332816.

Greatest Common Factor of 851,6780

To find the highest common factor of 851,6780, we have to find the factors of both numbers and list the highest common factor.

The factors of 851 are 1, 23, 37, 851

The factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780

The HCF of 851,6780 is 1.

Lets's calculate GCF of 851,6780

Greatest Common Factor (GCF) of 851,6780 By Common Division

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

Greatest Common Factor of 851,6780 By Matching Biggest Common Factor Method

Now, list down the factors of 851

1,23,37,851

Now, list down the factors of 6780

1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780

Greatest Common Factor

We found the factors 851,6780 . The biggest common factor number is the GCF number.
So the greatest common factor 851,6780 is 1.

Lets's calculate LCM of 976,682

Lowest Common Multiple of 976,682 using Common Division

2	976, 682
	488, 341

∴ So the LCM of the given numbers is 2 x 488 x 341 = 332816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332816

Therefore, the GCF of Fractions 851/976,6780/682 is 1/332816

Least Common Multiple of 976,682 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 976,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,682) = 2

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

GCF(976,682) x common factors =2 x 1 = 2

LCM(976,682) = ( 976 × 682 ) / 2

LCM(976,682) = 665632 / 2

LCM(976,682) = 332816

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 851/976, 6780/682

1. What is the HCF of 851,6780?

The HCF of 851,6780 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 851/976, 6780/682?

Answer: GCF of Numerators as per given numbers 851/976, 6780/682 is

GCF of Numerators i.e. for 851,6780 is 1

LCM of denominators i.e. for 976,682 is 332816.

Thus, GCF of Fractions is 1/332816.Finally, GCF of Fractions for 851/976, 6780/682 is 1/332816.