How to Find GCF of 910/808, 962/997?

GCF of 910/808, 962/997

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 910/808, 962/997 i.e 26/805576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/808, 962/997.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 910/808,962/997?

Given fractions are 910/808,962/997

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 910/808,962/997, numerators are 910,962

Denominators are 808,997

The GCF of 910,962 is 26 .

LCM of 808,997 is 805576.

The greatest common factor of 910/808,962/997 = [GCF of 910,962]/[LCM of 808,997]= 26/805576

Therefore, the GCF of 910/808,962/997 is 26/805576.

Greatest Common Factor of 910,962

To find the highest common factor of 910,962, we have to find the factors of both numbers and list the highest common factor.

The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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

The HCF of 910,962 is 26.

Lets's calculate GCF of 910,962

Greatest Common Factor (GCF) of 910,962 By Common Division

2	910, 962
13	455, 481
	35, 37

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 910,962 By Matching Biggest Common Factor Method

Now, list down the factors of 910

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Now, list down the factors of 962

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

Greatest Common Factor

We found the factors 910,962 . The biggest common factor number is the GCF number.
So the greatest common factor 910,962 is 26.

Lets's calculate LCM of 808,997

Lowest Common Multiple of 808,997 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 805576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/805576

Therefore, the GCF of Fractions 910/808,962/997 is 26/805576

Least Common Multiple of 808,997 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 808,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,997) = 1

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

GCF(808,997) x common factors =1 x 1 = 1

LCM(808,997) = ( 808 × 997 ) / 1

LCM(808,997) = 805576 / 1

LCM(808,997) = 805576

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FAQs on GCF of Fractions of 910/808, 962/997

1. What is the HCF of 910,962?

The HCF of 910,962 is 26

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 910/808, 962/997?

Answer: GCF of Numerators as per given numbers 910/808, 962/997 is

GCF of Numerators i.e. for 910,962 is 26

LCM of denominators i.e. for 808,997 is 805576.

Thus, GCF of Fractions is 26/805576.Finally, GCF of Fractions for 910/808, 962/997 is 26/805576.