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GCF of 679/273, 2267/541

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 679/273, 2267/541 i.e 1/147693 easily. The following is the detailed procedure to determine the greatest common factor of fractions 679/273, 2267/541.

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 679/273,2267/541?

Given fractions are 679/273,2267/541

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 679/273,2267/541, numerators are 679,2267

Denominators are 273,541

The GCF of 679,2267 is 1 .

LCM of 273,541 is 147693.

The greatest common factor of 679/273,2267/541 = [GCF of 679,2267]/[LCM of 273,541]= 1/147693

Therefore, the GCF of 679/273,2267/541 is 1/147693.

Greatest Common Factor of 679,2267

To find the highest common factor of 679,2267, we have to find the factors of both numbers and list the highest common factor.

The factors of 679 are 1, 7, 97, 679

The factors of 2267 are 1, 2267

The HCF of 679,2267 is 1.

Lets's calculate GCF of 679,2267

Greatest Common Factor (GCF) of 679,2267 By Common Division

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

Greatest Common Factor of 679,2267 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,2267 By Matching Biggest Common Factor Method

Now, list down the factors of 679

:

1,7,97,679

Now, list down the factors of 2267

:

1,2267

Greatest Common Factor

We found the factors 679,2267 . The biggest common factor number is the GCF number.
So the greatest common factor 679,2267 is 1.

Lets's calculate LCM of 273,541

Lowest Common Multiple of 273,541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 147693

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147693

Therefore, the GCF of Fractions 679/273,2267/541 is 1/147693

Least Common Multiple of 273,541 with GCF Formula

Least Common Multiple of 273,541 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 273,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,541) = 1

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

GCF(273,541) x common factors =1 x 1 = 1

LCM(273,541) = ( 273 × 541 ) / 1

LCM(273,541) = 147693 / 1

LCM(273,541) = 147693


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FAQs on GCF of Fractions of 679/273, 2267/541

1. What is the HCF of 679,2267?

The HCF of 679,2267 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 679/273, 2267/541?

Answer: GCF of Numerators as per given numbers 679/273, 2267/541 is

GCF of Numerators i.e. for 679,2267 is 1

LCM of denominators i.e. for 273,541 is 147693.

Thus, GCF of Fractions is 1/147693.Finally, GCF of Fractions for 679/273, 2267/541 is 1/147693.