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GCF of 150/78, 875/349

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 150/78, 875/349 i.e 25/27222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/78, 875/349.

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 150/78,875/349?

Given fractions are 150/78,875/349

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 150/78,875/349, numerators are 150,875

Denominators are 78,349

The GCF of 150,875 is 25 .

LCM of 78,349 is 27222.

The greatest common factor of 150/78,875/349 = [GCF of 150,875]/[LCM of 78,349]= 25/27222

Therefore, the GCF of 150/78,875/349 is 25/27222.

Greatest Common Factor of 150,875

To find the highest common factor of 150,875, we have to find the factors of both numbers and list the highest common factor.

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875

The HCF of 150,875 is 25.

Lets's calculate GCF of 150,875

Greatest Common Factor (GCF) of 150,875 By Common Division

5 150, 875
5 30, 175
6, 35

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 150,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,875 By Matching Biggest Common Factor Method

Now, list down the factors of 150

:

1,2,3,5,6,10,15,25,30,50,75,150

Now, list down the factors of 875

:

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 150,875 . The biggest common factor number is the GCF number.
So the greatest common factor 150,875 is 25.

Lets's calculate LCM of 78,349

Lowest Common Multiple of 78,349 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 27222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/27222

Therefore, the GCF of Fractions 150/78,875/349 is 25/27222

Least Common Multiple of 78,349 with GCF Formula

Least Common Multiple of 78,349 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 78,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,349) = 1

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

GCF(78,349) x common factors =1 x 1 = 1

LCM(78,349) = ( 78 × 349 ) / 1

LCM(78,349) = 27222 / 1

LCM(78,349) = 27222


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FAQs on GCF of Fractions of 150/78, 875/349

1. What is the HCF of 150,875?

The HCF of 150,875 is 25

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 150/78, 875/349?

Answer: GCF of Numerators as per given numbers 150/78, 875/349 is

GCF of Numerators i.e. for 150,875 is 25

LCM of denominators i.e. for 78,349 is 27222.

Thus, GCF of Fractions is 25/27222.Finally, GCF of Fractions for 150/78, 875/349 is 25/27222.