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GCF of 949/44, 962/683

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 949/44, 962/683 i.e 13/30052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/44, 962/683.

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 949/44,962/683?

Given fractions are 949/44,962/683

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 949/44,962/683, numerators are 949,962

Denominators are 44,683

The GCF of 949,962 is 13 .

LCM of 44,683 is 30052.

The greatest common factor of 949/44,962/683 = [GCF of 949,962]/[LCM of 44,683]= 13/30052

Therefore, the GCF of 949/44,962/683 is 13/30052.

Greatest Common Factor of 949,962

To find the highest common factor of 949,962, we have to find the factors of both numbers and list the highest common factor.

The factors of 949 are 1, 13, 73, 949

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

The HCF of 949,962 is 13.

Lets's calculate GCF of 949,962

Greatest Common Factor (GCF) of 949,962 By Common Division

13 949, 962
73, 74

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 949,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,962 By Matching Biggest Common Factor Method

Now, list down the factors of 949

:

1,13,73,949

Now, list down the factors of 962

:

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 949,962 . The biggest common factor number is the GCF number.
So the greatest common factor 949,962 is 13.

Lets's calculate LCM of 44,683

Lowest Common Multiple of 44,683 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/30052

Therefore, the GCF of Fractions 949/44,962/683 is 13/30052

Least Common Multiple of 44,683 with GCF Formula

Least Common Multiple of 44,683 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 44,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,683) = 1

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

GCF(44,683) x common factors =1 x 1 = 1

LCM(44,683) = ( 44 × 683 ) / 1

LCM(44,683) = 30052 / 1

LCM(44,683) = 30052


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FAQs on GCF of Fractions of 949/44, 962/683

1. What is the HCF of 949,962?

The HCF of 949,962 is 13

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 949/44, 962/683?

Answer: GCF of Numerators as per given numbers 949/44, 962/683 is

GCF of Numerators i.e. for 949,962 is 13

LCM of denominators i.e. for 44,683 is 30052.

Thus, GCF of Fractions is 13/30052.Finally, GCF of Fractions for 949/44, 962/683 is 13/30052.