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GCF of 750/47, 310/939

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 750/47, 310/939 i.e 10/44133 easily. The following is the detailed procedure to determine the greatest common factor of fractions 750/47, 310/939.

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 750/47,310/939?

Given fractions are 750/47,310/939

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 750/47,310/939, numerators are 750,310

Denominators are 47,939

The GCF of 750,310 is 10 .

LCM of 47,939 is 44133.

The greatest common factor of 750/47,310/939 = [GCF of 750,310]/[LCM of 47,939]= 10/44133

Therefore, the GCF of 750/47,310/939 is 10/44133.

Greatest Common Factor of 750,310

To find the highest common factor of 750,310, we have to find the factors of both numbers and list the highest common factor.

The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310

The HCF of 750,310 is 10.

Lets's calculate GCF of 750,310

Greatest Common Factor (GCF) of 750,310 By Common Division

2 750, 310
5 375, 155
75, 31

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 750,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,310 By Matching Biggest Common Factor Method

Now, list down the factors of 750

:

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Now, list down the factors of 310

:

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 750,310 . The biggest common factor number is the GCF number.
So the greatest common factor 750,310 is 10.

Lets's calculate LCM of 47,939

Lowest Common Multiple of 47,939 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 44133

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/44133

Therefore, the GCF of Fractions 750/47,310/939 is 10/44133

Least Common Multiple of 47,939 with GCF Formula

Least Common Multiple of 47,939 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 47,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,939) = 1

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

GCF(47,939) x common factors =1 x 1 = 1

LCM(47,939) = ( 47 × 939 ) / 1

LCM(47,939) = 44133 / 1

LCM(47,939) = 44133


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FAQs on GCF of Fractions of 750/47, 310/939

1. What is the HCF of 750,310?

The HCF of 750,310 is 10

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 750/47, 310/939?

Answer: GCF of Numerators as per given numbers 750/47, 310/939 is

GCF of Numerators i.e. for 750,310 is 10

LCM of denominators i.e. for 47,939 is 44133.

Thus, GCF of Fractions is 10/44133.Finally, GCF of Fractions for 750/47, 310/939 is 10/44133.