Greatest Common Factor of 8015/136, 2114/1764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8015/136, 2114/1764

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 8015/136,2114/1764

Given fractions are 8015/136,2114/1764

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8015,2114

Greatest Common Factor of Numerators i.e. GCF of 8015,2114 is 7 .

LCM of Denominators means LCM of 136,1764 as per the given fractions.

LCM of 136,1764 is 59976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8015,2114

GCF of Fractions 8015/136,2114/1764 is 7/59976

7 8015, 2114
1145, 302

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8015,2114 By Matching Biggest Common Factor Method

Greatest Common Factor of 8015,2114 By Matching Biggest Common Factor Method

Factors of 8015

List of positive integer factors of 8015 that divides 8015 without a remainder.

1,5,7,35,229,1145,1603,8015

Factors of 2114

List of positive integer factors of 2114 that divides 2114 without a remainder.

1,2,7,14,151,302,1057,2114

Greatest Common Factor

We found the factors 8015,2114 . The biggest common factor number is the GCF number.
So the greatest common factor 8015,2114 is 7.

Lets's calculate LCM of 136,1764

2 136, 1764
2 68, 882
34, 441

∴ So the LCM of the given numbers is 2 x 2 x 34 x 441 = 59976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/59976

Therefore, the GCF of Fractions 8015/136,2114/1764 is 7/59976

Least Common Multiple of 136,1764 with GCF Formula

Least Common Multiple of 136,1764 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 136,1764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,1764) = 4

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

GCF(136,1764) x common factors =4 x 1 = 4

LCM(136,1764) = ( 136 × 1764 ) / 4

LCM(136,1764) = 239904 / 4

LCM(136,1764) = 59976


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8015/136, 2114/1764

1. 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.

2. What is the GCF of Fractions for 8015/136, 2114/1764?

Answer: GCF of Numerators as per given numbers 8015/136, 2114/1764 is

GCF of Numerators i.e. for 8015,2114 is 7

LCM of denominators i.e. for 136,1764 is 59976.

Thus, GCF of Fractions is 7/59976.Finally, GCF of Fractions for 8015/136, 2114/1764 is 7/59976.