How to Find GCF of 996/761, 1027/802?

GCF of 996/761, 1027/802

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 996/761, 1027/802 i.e 1/610322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/761, 1027/802.

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 996/761,1027/802?

Given fractions are 996/761,1027/802

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 996/761,1027/802, numerators are 996,1027

Denominators are 761,802

The GCF of 996,1027 is 1 .

LCM of 761,802 is 610322.

The greatest common factor of 996/761,1027/802 = [GCF of 996,1027]/[LCM of 761,802]= 1/610322

Therefore, the GCF of 996/761,1027/802 is 1/610322.

Greatest Common Factor of 996,1027

To find the highest common factor of 996,1027, we have to find the factors of both numbers and list the highest common factor.

The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

The factors of 1027 are 1, 13, 79, 1027

The HCF of 996,1027 is 1.

Lets's calculate GCF of 996,1027

Greatest Common Factor (GCF) of 996,1027 By Common Division

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

Greatest Common Factor of 996,1027 By Matching Biggest Common Factor Method

Now, list down the factors of 996

1,2,3,4,6,12,83,166,249,332,498,996

Now, list down the factors of 1027

1,13,79,1027

Greatest Common Factor

We found the factors 996,1027 . The biggest common factor number is the GCF number.
So the greatest common factor 996,1027 is 1.

Lets's calculate LCM of 761,802

Lowest Common Multiple of 761,802 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 610322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/610322

Therefore, the GCF of Fractions 996/761,1027/802 is 1/610322

Least Common Multiple of 761,802 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 761,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,802) = 1

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

GCF(761,802) x common factors =1 x 1 = 1

LCM(761,802) = ( 761 × 802 ) / 1

LCM(761,802) = 610322 / 1

LCM(761,802) = 610322

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FAQs on GCF of Fractions of 996/761, 1027/802

1. What is the HCF of 996,1027?

The HCF of 996,1027 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 996/761, 1027/802?

Answer: GCF of Numerators as per given numbers 996/761, 1027/802 is

GCF of Numerators i.e. for 996,1027 is 1

LCM of denominators i.e. for 761,802 is 610322.

Thus, GCF of Fractions is 1/610322.Finally, GCF of Fractions for 996/761, 1027/802 is 1/610322.