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GCF of 687/212, 8168/700

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 687/212, 8168/700 i.e 1/37100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 687/212, 8168/700.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 687/212,8168/700?

Given fractions are 687/212,8168/700

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 687/212,8168/700, numerators are 687,8168

Denominators are 212,700

The GCF of 687,8168 is 1 .

LCM of 212,700 is 37100.

The greatest common factor of 687/212,8168/700 = [GCF of 687,8168]/[LCM of 212,700]= 1/37100

Therefore, the GCF of 687/212,8168/700 is 1/37100.

Greatest Common Factor of 687,8168

To find the highest common factor of 687,8168, we have to find the factors of both numbers and list the highest common factor.

The factors of 687 are 1, 3, 229, 687

The factors of 8168 are 1, 2, 4, 8, 1021, 2042, 4084, 8168

The HCF of 687,8168 is 1.

Lets's calculate GCF of 687,8168

Greatest Common Factor (GCF) of 687,8168 By Common Division

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

Greatest Common Factor of 687,8168 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,8168 By Matching Biggest Common Factor Method

Now, list down the factors of 687

:

1,3,229,687

Now, list down the factors of 8168

:

1,2,4,8,1021,2042,4084,8168

Greatest Common Factor

We found the factors 687,8168 . The biggest common factor number is the GCF number.
So the greatest common factor 687,8168 is 1.

Lets's calculate LCM of 212,700

Lowest Common Multiple of 212,700 using Common Division

2 212, 700
2 106, 350
53, 175

∴ So the LCM of the given numbers is 2 x 2 x 53 x 175 = 37100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37100

Therefore, the GCF of Fractions 687/212,8168/700 is 1/37100

Least Common Multiple of 212,700 with GCF Formula

Least Common Multiple of 212,700 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 212,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,700) = 4

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

GCF(212,700) x common factors =4 x 1 = 4

LCM(212,700) = ( 212 × 700 ) / 4

LCM(212,700) = 148400 / 4

LCM(212,700) = 37100


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FAQs on GCF of Fractions of 687/212, 8168/700

1. What is the HCF of 687,8168?

The HCF of 687,8168 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 687/212, 8168/700?

Answer: GCF of Numerators as per given numbers 687/212, 8168/700 is

GCF of Numerators i.e. for 687,8168 is 1

LCM of denominators i.e. for 212,700 is 37100.

Thus, GCF of Fractions is 1/37100.Finally, GCF of Fractions for 687/212, 8168/700 is 1/37100.