How to Find GCF of 8129/645, 1249/5117?

GCF of 8129/645, 1249/5117

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 8129/645, 1249/5117 i.e 1/76755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8129/645, 1249/5117.

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 8129/645,1249/5117?

Given fractions are 8129/645,1249/5117

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 8129/645,1249/5117, numerators are 8129,1249

Denominators are 645,5117

The GCF of 8129,1249 is 1 .

LCM of 645,5117 is 76755.

The greatest common factor of 8129/645,1249/5117 = [GCF of 8129,1249]/[LCM of 645,5117]= 1/76755

Therefore, the GCF of 8129/645,1249/5117 is 1/76755.

Greatest Common Factor of 8129,1249

To find the highest common factor of 8129,1249, we have to find the factors of both numbers and list the highest common factor.

The factors of 8129 are 1, 11, 739, 8129

The factors of 1249 are 1, 1249

The HCF of 8129,1249 is 1.

Lets's calculate GCF of 8129,1249

Greatest Common Factor (GCF) of 8129,1249 By Common Division

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

Greatest Common Factor of 8129,1249 By Matching Biggest Common Factor Method

Now, list down the factors of 8129

1,11,739,8129

Now, list down the factors of 1249

1,1249

Greatest Common Factor

We found the factors 8129,1249 . The biggest common factor number is the GCF number.
So the greatest common factor 8129,1249 is 1.

Lets's calculate LCM of 645,5117

Lowest Common Multiple of 645,5117 using Common Division

43	645, 5117
	15, 119

∴ So the LCM of the given numbers is 43 x 15 x 119 = 76755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76755

Therefore, the GCF of Fractions 8129/645,1249/5117 is 1/76755

Least Common Multiple of 645,5117 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 645,5117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,5117) = 43

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

GCF(645,5117) x common factors =43 x 1 = 43

LCM(645,5117) = ( 645 × 5117 ) / 43

LCM(645,5117) = 3300465 / 43

LCM(645,5117) = 76755

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FAQs on GCF of Fractions of 8129/645, 1249/5117

1. What is the HCF of 8129,1249?

The HCF of 8129,1249 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 8129/645, 1249/5117?

Answer: GCF of Numerators as per given numbers 8129/645, 1249/5117 is

GCF of Numerators i.e. for 8129,1249 is 1

LCM of denominators i.e. for 645,5117 is 76755.

Thus, GCF of Fractions is 1/76755.Finally, GCF of Fractions for 8129/645, 1249/5117 is 1/76755.