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GCF of 967/90, 801/914

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 967/90, 801/914 i.e 1/41130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 967/90, 801/914.

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 967/90,801/914?

Given fractions are 967/90,801/914

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 967/90,801/914, numerators are 967,801

Denominators are 90,914

The GCF of 967,801 is 1 .

LCM of 90,914 is 41130.

The greatest common factor of 967/90,801/914 = [GCF of 967,801]/[LCM of 90,914]= 1/41130

Therefore, the GCF of 967/90,801/914 is 1/41130.

Greatest Common Factor of 967,801

To find the highest common factor of 967,801, we have to find the factors of both numbers and list the highest common factor.

The factors of 967 are 1, 967

The factors of 801 are 1, 3, 9, 89, 267, 801

The HCF of 967,801 is 1.

Lets's calculate GCF of 967,801

Greatest Common Factor (GCF) of 967,801 By Common Division

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

Greatest Common Factor of 967,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,801 By Matching Biggest Common Factor Method

Now, list down the factors of 967

:

1,967

Now, list down the factors of 801

:

1,3,9,89,267,801

Greatest Common Factor

We found the factors 967,801 . The biggest common factor number is the GCF number.
So the greatest common factor 967,801 is 1.

Lets's calculate LCM of 90,914

Lowest Common Multiple of 90,914 using Common Division

2 90, 914
45, 457

∴ So the LCM of the given numbers is 2 x 45 x 457 = 41130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41130

Therefore, the GCF of Fractions 967/90,801/914 is 1/41130

Least Common Multiple of 90,914 with GCF Formula

Least Common Multiple of 90,914 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 90,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,914) = 2

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

GCF(90,914) x common factors =2 x 1 = 2

LCM(90,914) = ( 90 × 914 ) / 2

LCM(90,914) = 82260 / 2

LCM(90,914) = 41130


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FAQs on GCF of Fractions of 967/90, 801/914

1. What is the HCF of 967,801?

The HCF of 967,801 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 967/90, 801/914?

Answer: GCF of Numerators as per given numbers 967/90, 801/914 is

GCF of Numerators i.e. for 967,801 is 1

LCM of denominators i.e. for 90,914 is 41130.

Thus, GCF of Fractions is 1/41130.Finally, GCF of Fractions for 967/90, 801/914 is 1/41130.