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GCF of 649/66, 691/461

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 649/66, 691/461 i.e 1/30426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 649/66, 691/461.

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 649/66,691/461?

Given fractions are 649/66,691/461

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 649/66,691/461, numerators are 649,691

Denominators are 66,461

The GCF of 649,691 is 1 .

LCM of 66,461 is 30426.

The greatest common factor of 649/66,691/461 = [GCF of 649,691]/[LCM of 66,461]= 1/30426

Therefore, the GCF of 649/66,691/461 is 1/30426.

Greatest Common Factor of 649,691

To find the highest common factor of 649,691, we have to find the factors of both numbers and list the highest common factor.

The factors of 649 are 1, 11, 59, 649

The factors of 691 are 1, 691

The HCF of 649,691 is 1.

Lets's calculate GCF of 649,691

Greatest Common Factor (GCF) of 649,691 By Common Division

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

Greatest Common Factor of 649,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,691 By Matching Biggest Common Factor Method

Now, list down the factors of 649

:

1,11,59,649

Now, list down the factors of 691

:

1,691

Greatest Common Factor

We found the factors 649,691 . The biggest common factor number is the GCF number.
So the greatest common factor 649,691 is 1.

Lets's calculate LCM of 66,461

Lowest Common Multiple of 66,461 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30426

Therefore, the GCF of Fractions 649/66,691/461 is 1/30426

Least Common Multiple of 66,461 with GCF Formula

Least Common Multiple of 66,461 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 66,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,461) = 1

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

GCF(66,461) x common factors =1 x 1 = 1

LCM(66,461) = ( 66 × 461 ) / 1

LCM(66,461) = 30426 / 1

LCM(66,461) = 30426


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FAQs on GCF of Fractions of 649/66, 691/461

1. What is the HCF of 649,691?

The HCF of 649,691 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 649/66, 691/461?

Answer: GCF of Numerators as per given numbers 649/66, 691/461 is

GCF of Numerators i.e. for 649,691 is 1

LCM of denominators i.e. for 66,461 is 30426.

Thus, GCF of Fractions is 1/30426.Finally, GCF of Fractions for 649/66, 691/461 is 1/30426.