How to Find GCF of 6596/700, 5068/5137?

GCF of 6596/700, 5068/5137

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 6596/700, 5068/5137 i.e 4/3595900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6596/700, 5068/5137.

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 6596/700,5068/5137?

Given fractions are 6596/700,5068/5137

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 6596/700,5068/5137, numerators are 6596,5068

Denominators are 700,5137

The GCF of 6596,5068 is 4 .

LCM of 700,5137 is 3595900.

The greatest common factor of 6596/700,5068/5137 = [GCF of 6596,5068]/[LCM of 700,5137]= 4/3595900

Therefore, the GCF of 6596/700,5068/5137 is 4/3595900.

Greatest Common Factor of 6596,5068

To find the highest common factor of 6596,5068, we have to find the factors of both numbers and list the highest common factor.

The factors of 6596 are 1, 2, 4, 17, 34, 68, 97, 194, 388, 1649, 3298, 6596

The factors of 5068 are 1, 2, 4, 7, 14, 28, 181, 362, 724, 1267, 2534, 5068

The HCF of 6596,5068 is 4.

Lets's calculate GCF of 6596,5068

Greatest Common Factor (GCF) of 6596,5068 By Common Division

2	6596, 5068
2	3298, 2534
	1649, 1267

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6596,5068 By Matching Biggest Common Factor Method

Now, list down the factors of 6596

1,2,4,17,34,68,97,194,388,1649,3298,6596

Now, list down the factors of 5068

1,2,4,7,14,28,181,362,724,1267,2534,5068

Greatest Common Factor

We found the factors 6596,5068 . The biggest common factor number is the GCF number.
So the greatest common factor 6596,5068 is 4.

Lets's calculate LCM of 700,5137

Lowest Common Multiple of 700,5137 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3595900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3595900

Therefore, the GCF of Fractions 6596/700,5068/5137 is 4/3595900

Least Common Multiple of 700,5137 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 700,5137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,5137) = 1

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

GCF(700,5137) x common factors =1 x 1 = 1

LCM(700,5137) = ( 700 × 5137 ) / 1

LCM(700,5137) = 3595900 / 1

LCM(700,5137) = 3595900

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6596/700, 5068/5137

1. What is the HCF of 6596,5068?

The HCF of 6596,5068 is 4

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 6596/700, 5068/5137?

Answer: GCF of Numerators as per given numbers 6596/700, 5068/5137 is

GCF of Numerators i.e. for 6596,5068 is 4

LCM of denominators i.e. for 700,5137 is 3595900.

Thus, GCF of Fractions is 4/3595900.Finally, GCF of Fractions for 6596/700, 5068/5137 is 4/3595900.