How to Find GCF of 5121/760, 8690/6688?

GCF of 5121/760, 8690/6688

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 5121/760, 8690/6688 i.e 1/33440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5121/760, 8690/6688.

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 5121/760,8690/6688?

Given fractions are 5121/760,8690/6688

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 5121/760,8690/6688, numerators are 5121,8690

Denominators are 760,6688

The GCF of 5121,8690 is 1 .

LCM of 760,6688 is 33440.

The greatest common factor of 5121/760,8690/6688 = [GCF of 5121,8690]/[LCM of 760,6688]= 1/33440

Therefore, the GCF of 5121/760,8690/6688 is 1/33440.

Greatest Common Factor of 5121,8690

To find the highest common factor of 5121,8690, we have to find the factors of both numbers and list the highest common factor.

The factors of 5121 are 1, 3, 9, 569, 1707, 5121

The factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690

The HCF of 5121,8690 is 1.

Lets's calculate GCF of 5121,8690

Greatest Common Factor (GCF) of 5121,8690 By Common Division

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

Greatest Common Factor of 5121,8690 By Matching Biggest Common Factor Method

Now, list down the factors of 5121

1,3,9,569,1707,5121

Now, list down the factors of 8690

1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690

Greatest Common Factor

We found the factors 5121,8690 . The biggest common factor number is the GCF number.
So the greatest common factor 5121,8690 is 1.

Lets's calculate LCM of 760,6688

Lowest Common Multiple of 760,6688 using Common Division

2	760, 6688
2	380, 3344
2	190, 1672
19	95, 836
	5, 44

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 5 x 44 = 33440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33440

Therefore, the GCF of Fractions 5121/760,8690/6688 is 1/33440

Least Common Multiple of 760,6688 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 760,6688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,6688) = 152

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

GCF(760,6688) x common factors =152 x 1 = 152

LCM(760,6688) = ( 760 × 6688 ) / 152

LCM(760,6688) = 5082880 / 152

LCM(760,6688) = 33440

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5121/760, 8690/6688

1. What is the HCF of 5121,8690?

The HCF of 5121,8690 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 5121/760, 8690/6688?

Answer: GCF of Numerators as per given numbers 5121/760, 8690/6688 is

GCF of Numerators i.e. for 5121,8690 is 1

LCM of denominators i.e. for 760,6688 is 33440.

Thus, GCF of Fractions is 1/33440.Finally, GCF of Fractions for 5121/760, 8690/6688 is 1/33440.