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GCF of 875/48, 300/446

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 875/48, 300/446 i.e 25/10704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 875/48, 300/446.

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 875/48,300/446?

Given fractions are 875/48,300/446

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 875/48,300/446, numerators are 875,300

Denominators are 48,446

The GCF of 875,300 is 25 .

LCM of 48,446 is 10704.

The greatest common factor of 875/48,300/446 = [GCF of 875,300]/[LCM of 48,446]= 25/10704

Therefore, the GCF of 875/48,300/446 is 25/10704.

Greatest Common Factor of 875,300

To find the highest common factor of 875,300, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

The HCF of 875,300 is 25.

Lets's calculate GCF of 875,300

Greatest Common Factor (GCF) of 875,300 By Common Division

5 875, 300
5 175, 60
35, 12

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

Greatest Common Factor of 875,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,300 By Matching Biggest Common Factor Method

Now, list down the factors of 875

:

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

Now, list down the factors of 300

:

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 875,300 . The biggest common factor number is the GCF number.
So the greatest common factor 875,300 is 25.

Lets's calculate LCM of 48,446

Lowest Common Multiple of 48,446 using Common Division

2 48, 446
24, 223

∴ So the LCM of the given numbers is 2 x 24 x 223 = 10704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/10704

Therefore, the GCF of Fractions 875/48,300/446 is 25/10704

Least Common Multiple of 48,446 with GCF Formula

Least Common Multiple of 48,446 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 48,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,446) = 2

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

GCF(48,446) x common factors =2 x 1 = 2

LCM(48,446) = ( 48 × 446 ) / 2

LCM(48,446) = 21408 / 2

LCM(48,446) = 10704


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FAQs on GCF of Fractions of 875/48, 300/446

1. What is the HCF of 875,300?

The HCF of 875,300 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 875/48, 300/446?

Answer: GCF of Numerators as per given numbers 875/48, 300/446 is

GCF of Numerators i.e. for 875,300 is 25

LCM of denominators i.e. for 48,446 is 10704.

Thus, GCF of Fractions is 25/10704.Finally, GCF of Fractions for 875/48, 300/446 is 25/10704.