How to Find GCF of 375/948, 461/300?

GCF of 375/948, 461/300

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 375/948, 461/300 i.e 1/23700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 375/948, 461/300.

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 375/948,461/300?

Given fractions are 375/948,461/300

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 375/948,461/300, numerators are 375,461

Denominators are 948,300

The GCF of 375,461 is 1 .

LCM of 948,300 is 23700.

The greatest common factor of 375/948,461/300 = [GCF of 375,461]/[LCM of 948,300]= 1/23700

Therefore, the GCF of 375/948,461/300 is 1/23700.

Greatest Common Factor of 375,461

To find the highest common factor of 375,461, we have to find the factors of both numbers and list the highest common factor.

The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375

The factors of 461 are 1, 461

The HCF of 375,461 is 1.

Lets's calculate GCF of 375,461

Greatest Common Factor (GCF) of 375,461 By Common Division

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

Greatest Common Factor of 375,461 By Matching Biggest Common Factor Method

Now, list down the factors of 375

1,3,5,15,25,75,125,375

Now, list down the factors of 461

1,461

Greatest Common Factor

We found the factors 375,461 . The biggest common factor number is the GCF number.
So the greatest common factor 375,461 is 1.

Lets's calculate LCM of 948,300

Lowest Common Multiple of 948,300 using Common Division

2	948, 300
2	474, 150
3	237, 75
	79, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 79 x 25 = 23700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23700

Therefore, the GCF of Fractions 375/948,461/300 is 1/23700

Least Common Multiple of 948,300 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 948,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,300) = 12

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

GCF(948,300) x common factors =12 x 1 = 12

LCM(948,300) = ( 948 × 300 ) / 12

LCM(948,300) = 284400 / 12

LCM(948,300) = 23700

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FAQs on GCF of Fractions of 375/948, 461/300

1. What is the HCF of 375,461?

The HCF of 375,461 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 375/948, 461/300?

Answer: GCF of Numerators as per given numbers 375/948, 461/300 is

GCF of Numerators i.e. for 375,461 is 1

LCM of denominators i.e. for 948,300 is 23700.

Thus, GCF of Fractions is 1/23700.Finally, GCF of Fractions for 375/948, 461/300 is 1/23700.