How to Find GCF of 8362/689, 2572/109?

GCF of 8362/689, 2572/109

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 8362/689, 2572/109 i.e 2/75101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8362/689, 2572/109.

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 8362/689,2572/109?

Given fractions are 8362/689,2572/109

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 8362/689,2572/109, numerators are 8362,2572

Denominators are 689,109

The GCF of 8362,2572 is 2 .

LCM of 689,109 is 75101.

The greatest common factor of 8362/689,2572/109 = [GCF of 8362,2572]/[LCM of 689,109]= 2/75101

Therefore, the GCF of 8362/689,2572/109 is 2/75101.

Greatest Common Factor of 8362,2572

To find the highest common factor of 8362,2572, we have to find the factors of both numbers and list the highest common factor.

The factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362

The factors of 2572 are 1, 2, 4, 643, 1286, 2572

The HCF of 8362,2572 is 2.

Lets's calculate GCF of 8362,2572

Greatest Common Factor (GCF) of 8362,2572 By Common Division

2	8362, 2572
	4181, 1286

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

Greatest Common Factor of 8362,2572 By Matching Biggest Common Factor Method

Now, list down the factors of 8362

1,2,37,74,113,226,4181,8362

Now, list down the factors of 2572

1,2,4,643,1286,2572

Greatest Common Factor

We found the factors 8362,2572 . The biggest common factor number is the GCF number.
So the greatest common factor 8362,2572 is 2.

Lets's calculate LCM of 689,109

Lowest Common Multiple of 689,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 75101

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75101

Therefore, the GCF of Fractions 8362/689,2572/109 is 2/75101

Least Common Multiple of 689,109 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 689,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,109) = 1

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

GCF(689,109) x common factors =1 x 1 = 1

LCM(689,109) = ( 689 × 109 ) / 1

LCM(689,109) = 75101 / 1

LCM(689,109) = 75101

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FAQs on GCF of Fractions of 8362/689, 2572/109

1. What is the HCF of 8362,2572?

The HCF of 8362,2572 is 2

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 8362/689, 2572/109?

Answer: GCF of Numerators as per given numbers 8362/689, 2572/109 is

GCF of Numerators i.e. for 8362,2572 is 2

LCM of denominators i.e. for 689,109 is 75101.

Thus, GCF of Fractions is 2/75101.Finally, GCF of Fractions for 8362/689, 2572/109 is 2/75101.