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GCF of 991/460, 768/105

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 991/460, 768/105 i.e 1/9660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 991/460, 768/105.

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 991/460,768/105?

Given fractions are 991/460,768/105

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 991/460,768/105, numerators are 991,768

Denominators are 460,105

The GCF of 991,768 is 1 .

LCM of 460,105 is 9660.

The greatest common factor of 991/460,768/105 = [GCF of 991,768]/[LCM of 460,105]= 1/9660

Therefore, the GCF of 991/460,768/105 is 1/9660.

Greatest Common Factor of 991,768

To find the highest common factor of 991,768, we have to find the factors of both numbers and list the highest common factor.

The factors of 991 are 1, 991

The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

The HCF of 991,768 is 1.

Lets's calculate GCF of 991,768

Greatest Common Factor (GCF) of 991,768 By Common Division

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

Greatest Common Factor of 991,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,768 By Matching Biggest Common Factor Method

Now, list down the factors of 991

:

1,991

Now, list down the factors of 768

:

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 991,768 . The biggest common factor number is the GCF number.
So the greatest common factor 991,768 is 1.

Lets's calculate LCM of 460,105

Lowest Common Multiple of 460,105 using Common Division

5 460, 105
92, 21

∴ So the LCM of the given numbers is 5 x 92 x 21 = 9660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9660

Therefore, the GCF of Fractions 991/460,768/105 is 1/9660

Least Common Multiple of 460,105 with GCF Formula

Least Common Multiple of 460,105 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 460,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,105) = 5

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

GCF(460,105) x common factors =5 x 1 = 5

LCM(460,105) = ( 460 × 105 ) / 5

LCM(460,105) = 48300 / 5

LCM(460,105) = 9660


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FAQs on GCF of Fractions of 991/460, 768/105

1. What is the HCF of 991,768?

The HCF of 991,768 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 991/460, 768/105?

Answer: GCF of Numerators as per given numbers 991/460, 768/105 is

GCF of Numerators i.e. for 991,768 is 1

LCM of denominators i.e. for 460,105 is 9660.

Thus, GCF of Fractions is 1/9660.Finally, GCF of Fractions for 991/460, 768/105 is 1/9660.