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GCF of 968/370, 7993/446

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 968/370, 7993/446 i.e 1/82510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/370, 7993/446.

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 968/370,7993/446?

Given fractions are 968/370,7993/446

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 968/370,7993/446, numerators are 968,7993

Denominators are 370,446

The GCF of 968,7993 is 1 .

LCM of 370,446 is 82510.

The greatest common factor of 968/370,7993/446 = [GCF of 968,7993]/[LCM of 370,446]= 1/82510

Therefore, the GCF of 968/370,7993/446 is 1/82510.

Greatest Common Factor of 968,7993

To find the highest common factor of 968,7993, we have to find the factors of both numbers and list the highest common factor.

The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

The factors of 7993 are 1, 7993

The HCF of 968,7993 is 1.

Lets's calculate GCF of 968,7993

Greatest Common Factor (GCF) of 968,7993 By Common Division

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

Greatest Common Factor of 968,7993 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,7993 By Matching Biggest Common Factor Method

Now, list down the factors of 968

:

1,2,4,8,11,22,44,88,121,242,484,968

Now, list down the factors of 7993

:

1,7993

Greatest Common Factor

We found the factors 968,7993 . The biggest common factor number is the GCF number.
So the greatest common factor 968,7993 is 1.

Lets's calculate LCM of 370,446

Lowest Common Multiple of 370,446 using Common Division

2 370, 446
185, 223

∴ So the LCM of the given numbers is 2 x 185 x 223 = 82510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82510

Therefore, the GCF of Fractions 968/370,7993/446 is 1/82510

Least Common Multiple of 370,446 with GCF Formula

Least Common Multiple of 370,446 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 370,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,446) = 2

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

GCF(370,446) x common factors =2 x 1 = 2

LCM(370,446) = ( 370 × 446 ) / 2

LCM(370,446) = 165020 / 2

LCM(370,446) = 82510


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FAQs on GCF of Fractions of 968/370, 7993/446

1. What is the HCF of 968,7993?

The HCF of 968,7993 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 968/370, 7993/446?

Answer: GCF of Numerators as per given numbers 968/370, 7993/446 is

GCF of Numerators i.e. for 968,7993 is 1

LCM of denominators i.e. for 370,446 is 82510.

Thus, GCF of Fractions is 1/82510.Finally, GCF of Fractions for 968/370, 7993/446 is 1/82510.