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GCF of 126/89, 340/619

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 126/89, 340/619 i.e 2/55091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 126/89, 340/619.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 126/89,340/619?

Given fractions are 126/89,340/619

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 126/89,340/619, numerators are 126,340

Denominators are 89,619

The GCF of 126,340 is 2 .

LCM of 89,619 is 55091.

The greatest common factor of 126/89,340/619 = [GCF of 126,340]/[LCM of 89,619]= 2/55091

Therefore, the GCF of 126/89,340/619 is 2/55091.

Greatest Common Factor of 126,340

To find the highest common factor of 126,340, we have to find the factors of both numbers and list the highest common factor.

The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

The HCF of 126,340 is 2.

Lets's calculate GCF of 126,340

Greatest Common Factor (GCF) of 126,340 By Common Division

2 126, 340
63, 170

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

Greatest Common Factor of 126,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,340 By Matching Biggest Common Factor Method

Now, list down the factors of 126

:

1,2,3,6,7,9,14,18,21,42,63,126

Now, list down the factors of 340

:

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 126,340 . The biggest common factor number is the GCF number.
So the greatest common factor 126,340 is 2.

Lets's calculate LCM of 89,619

Lowest Common Multiple of 89,619 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 55091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55091

Therefore, the GCF of Fractions 126/89,340/619 is 2/55091

Least Common Multiple of 89,619 with GCF Formula

Least Common Multiple of 89,619 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 89,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,619) = 1

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

GCF(89,619) x common factors =1 x 1 = 1

LCM(89,619) = ( 89 × 619 ) / 1

LCM(89,619) = 55091 / 1

LCM(89,619) = 55091


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FAQs on GCF of Fractions of 126/89, 340/619

1. What is the HCF of 126,340?

The HCF of 126,340 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 126/89, 340/619?

Answer: GCF of Numerators as per given numbers 126/89, 340/619 is

GCF of Numerators i.e. for 126,340 is 2

LCM of denominators i.e. for 89,619 is 55091.

Thus, GCF of Fractions is 2/55091.Finally, GCF of Fractions for 126/89, 340/619 is 2/55091.