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GCF of 619/37, 457/667

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 619/37, 457/667 i.e 1/24679 easily. The following is the detailed procedure to determine the greatest common factor of fractions 619/37, 457/667.

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 619/37,457/667?

Given fractions are 619/37,457/667

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 619/37,457/667, numerators are 619,457

Denominators are 37,667

The GCF of 619,457 is 1 .

LCM of 37,667 is 24679.

The greatest common factor of 619/37,457/667 = [GCF of 619,457]/[LCM of 37,667]= 1/24679

Therefore, the GCF of 619/37,457/667 is 1/24679.

Greatest Common Factor of 619,457

To find the highest common factor of 619,457, we have to find the factors of both numbers and list the highest common factor.

The factors of 619 are 1, 619

The factors of 457 are 1, 457

The HCF of 619,457 is 1.

Lets's calculate GCF of 619,457

Greatest Common Factor (GCF) of 619,457 By Common Division

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

Greatest Common Factor of 619,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 619,457 By Matching Biggest Common Factor Method

Now, list down the factors of 619

:

1,619

Now, list down the factors of 457

:

1,457

Greatest Common Factor

We found the factors 619,457 . The biggest common factor number is the GCF number.
So the greatest common factor 619,457 is 1.

Lets's calculate LCM of 37,667

Lowest Common Multiple of 37,667 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24679

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24679

Therefore, the GCF of Fractions 619/37,457/667 is 1/24679

Least Common Multiple of 37,667 with GCF Formula

Least Common Multiple of 37,667 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 37,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,667) = 1

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

GCF(37,667) x common factors =1 x 1 = 1

LCM(37,667) = ( 37 × 667 ) / 1

LCM(37,667) = 24679 / 1

LCM(37,667) = 24679


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FAQs on GCF of Fractions of 619/37, 457/667

1. What is the HCF of 619,457?

The HCF of 619,457 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 619/37, 457/667?

Answer: GCF of Numerators as per given numbers 619/37, 457/667 is

GCF of Numerators i.e. for 619,457 is 1

LCM of denominators i.e. for 37,667 is 24679.

Thus, GCF of Fractions is 1/24679.Finally, GCF of Fractions for 619/37, 457/667 is 1/24679.