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GCF of 125/100, 619/287

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 125/100, 619/287 i.e 1/28700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 125/100, 619/287.

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 125/100,619/287?

Given fractions are 125/100,619/287

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 125/100,619/287, numerators are 125,619

Denominators are 100,287

The GCF of 125,619 is 1 .

LCM of 100,287 is 28700.

The greatest common factor of 125/100,619/287 = [GCF of 125,619]/[LCM of 100,287]= 1/28700

Therefore, the GCF of 125/100,619/287 is 1/28700.

Greatest Common Factor of 125,619

To find the highest common factor of 125,619, we have to find the factors of both numbers and list the highest common factor.

The factors of 125 are 1, 5, 25, 125

The factors of 619 are 1, 619

The HCF of 125,619 is 1.

Lets's calculate GCF of 125,619

Greatest Common Factor (GCF) of 125,619 By Common Division

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

Greatest Common Factor of 125,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,619 By Matching Biggest Common Factor Method

Now, list down the factors of 125

:

1,5,25,125

Now, list down the factors of 619

:

1,619

Greatest Common Factor

We found the factors 125,619 . The biggest common factor number is the GCF number.
So the greatest common factor 125,619 is 1.

Lets's calculate LCM of 100,287

Lowest Common Multiple of 100,287 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 28700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28700

Therefore, the GCF of Fractions 125/100,619/287 is 1/28700

Least Common Multiple of 100,287 with GCF Formula

Least Common Multiple of 100,287 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 100,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,287) = 1

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

GCF(100,287) x common factors =1 x 1 = 1

LCM(100,287) = ( 100 × 287 ) / 1

LCM(100,287) = 28700 / 1

LCM(100,287) = 28700


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FAQs on GCF of Fractions of 125/100, 619/287

1. What is the HCF of 125,619?

The HCF of 125,619 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 125/100, 619/287?

Answer: GCF of Numerators as per given numbers 125/100, 619/287 is

GCF of Numerators i.e. for 125,619 is 1

LCM of denominators i.e. for 100,287 is 28700.

Thus, GCF of Fractions is 1/28700.Finally, GCF of Fractions for 125/100, 619/287 is 1/28700.