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GCF of 693/268, 9211/776

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 693/268, 9211/776 i.e 1/51992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/268, 9211/776.

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 693/268,9211/776?

Given fractions are 693/268,9211/776

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 693/268,9211/776, numerators are 693,9211

Denominators are 268,776

The GCF of 693,9211 is 1 .

LCM of 268,776 is 51992.

The greatest common factor of 693/268,9211/776 = [GCF of 693,9211]/[LCM of 268,776]= 1/51992

Therefore, the GCF of 693/268,9211/776 is 1/51992.

Greatest Common Factor of 693,9211

To find the highest common factor of 693,9211, we have to find the factors of both numbers and list the highest common factor.

The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

The factors of 9211 are 1, 61, 151, 9211

The HCF of 693,9211 is 1.

Lets's calculate GCF of 693,9211

Greatest Common Factor (GCF) of 693,9211 By Common Division

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

Greatest Common Factor of 693,9211 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,9211 By Matching Biggest Common Factor Method

Now, list down the factors of 693

:

1,3,7,9,11,21,33,63,77,99,231,693

Now, list down the factors of 9211

:

1,61,151,9211

Greatest Common Factor

We found the factors 693,9211 . The biggest common factor number is the GCF number.
So the greatest common factor 693,9211 is 1.

Lets's calculate LCM of 268,776

Lowest Common Multiple of 268,776 using Common Division

2 268, 776
2 134, 388
67, 194

∴ So the LCM of the given numbers is 2 x 2 x 67 x 194 = 51992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51992

Therefore, the GCF of Fractions 693/268,9211/776 is 1/51992

Least Common Multiple of 268,776 with GCF Formula

Least Common Multiple of 268,776 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 268,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,776) = 4

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

GCF(268,776) x common factors =4 x 1 = 4

LCM(268,776) = ( 268 × 776 ) / 4

LCM(268,776) = 207968 / 4

LCM(268,776) = 51992


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FAQs on GCF of Fractions of 693/268, 9211/776

1. What is the HCF of 693,9211?

The HCF of 693,9211 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 693/268, 9211/776?

Answer: GCF of Numerators as per given numbers 693/268, 9211/776 is

GCF of Numerators i.e. for 693,9211 is 1

LCM of denominators i.e. for 268,776 is 51992.

Thus, GCF of Fractions is 1/51992.Finally, GCF of Fractions for 693/268, 9211/776 is 1/51992.