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GCF of 495/419, 7211/653

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 495/419, 7211/653 i.e 1/273607 easily. The following is the detailed procedure to determine the greatest common factor of fractions 495/419, 7211/653.

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 495/419,7211/653?

Given fractions are 495/419,7211/653

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 495/419,7211/653, numerators are 495,7211

Denominators are 419,653

The GCF of 495,7211 is 1 .

LCM of 419,653 is 273607.

The greatest common factor of 495/419,7211/653 = [GCF of 495,7211]/[LCM of 419,653]= 1/273607

Therefore, the GCF of 495/419,7211/653 is 1/273607.

Greatest Common Factor of 495,7211

To find the highest common factor of 495,7211, we have to find the factors of both numbers and list the highest common factor.

The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

The factors of 7211 are 1, 7211

The HCF of 495,7211 is 1.

Lets's calculate GCF of 495,7211

Greatest Common Factor (GCF) of 495,7211 By Common Division

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

Greatest Common Factor of 495,7211 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,7211 By Matching Biggest Common Factor Method

Now, list down the factors of 495

:

1,3,5,9,11,15,33,45,55,99,165,495

Now, list down the factors of 7211

:

1,7211

Greatest Common Factor

We found the factors 495,7211 . The biggest common factor number is the GCF number.
So the greatest common factor 495,7211 is 1.

Lets's calculate LCM of 419,653

Lowest Common Multiple of 419,653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 273607

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273607

Therefore, the GCF of Fractions 495/419,7211/653 is 1/273607

Least Common Multiple of 419,653 with GCF Formula

Least Common Multiple of 419,653 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 419,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,653) = 1

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

GCF(419,653) x common factors =1 x 1 = 1

LCM(419,653) = ( 419 × 653 ) / 1

LCM(419,653) = 273607 / 1

LCM(419,653) = 273607


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FAQs on GCF of Fractions of 495/419, 7211/653

1. What is the HCF of 495,7211?

The HCF of 495,7211 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 495/419, 7211/653?

Answer: GCF of Numerators as per given numbers 495/419, 7211/653 is

GCF of Numerators i.e. for 495,7211 is 1

LCM of denominators i.e. for 419,653 is 273607.

Thus, GCF of Fractions is 1/273607.Finally, GCF of Fractions for 495/419, 7211/653 is 1/273607.