How to Find GCF of 6708/371, 7718/639?

GCF of 6708/371, 7718/639

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 6708/371, 7718/639 i.e 2/237069 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6708/371, 7718/639.

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 6708/371,7718/639?

Given fractions are 6708/371,7718/639

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 6708/371,7718/639, numerators are 6708,7718

Denominators are 371,639

The GCF of 6708,7718 is 2 .

LCM of 371,639 is 237069.

The greatest common factor of 6708/371,7718/639 = [GCF of 6708,7718]/[LCM of 371,639]= 2/237069

Therefore, the GCF of 6708/371,7718/639 is 2/237069.

Greatest Common Factor of 6708,7718

To find the highest common factor of 6708,7718, we have to find the factors of both numbers and list the highest common factor.

The factors of 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708

The factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718

The HCF of 6708,7718 is 2.

Lets's calculate GCF of 6708,7718

Greatest Common Factor (GCF) of 6708,7718 By Common Division

2	6708, 7718
	3354, 3859

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

Greatest Common Factor of 6708,7718 By Matching Biggest Common Factor Method

Now, list down the factors of 6708

1,2,3,4,6,12,13,26,39,43,52,78,86,129,156,172,258,516,559,1118,1677,2236,3354,6708

Now, list down the factors of 7718

1,2,17,34,227,454,3859,7718

Greatest Common Factor

We found the factors 6708,7718 . The biggest common factor number is the GCF number.
So the greatest common factor 6708,7718 is 2.

Lets's calculate LCM of 371,639

Lowest Common Multiple of 371,639 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 237069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/237069

Therefore, the GCF of Fractions 6708/371,7718/639 is 2/237069

Least Common Multiple of 371,639 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 371,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,639) = 1

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

GCF(371,639) x common factors =1 x 1 = 1

LCM(371,639) = ( 371 × 639 ) / 1

LCM(371,639) = 237069 / 1

LCM(371,639) = 237069

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FAQs on GCF of Fractions of 6708/371, 7718/639

1. What is the HCF of 6708,7718?

The HCF of 6708,7718 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 6708/371, 7718/639?

Answer: GCF of Numerators as per given numbers 6708/371, 7718/639 is

GCF of Numerators i.e. for 6708,7718 is 2

LCM of denominators i.e. for 371,639 is 237069.

Thus, GCF of Fractions is 2/237069.Finally, GCF of Fractions for 6708/371, 7718/639 is 2/237069.