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GCF of 757/421, 1758/716

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 757/421, 1758/716 i.e 1/301436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 757/421, 1758/716.

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 757/421,1758/716?

Given fractions are 757/421,1758/716

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 757/421,1758/716, numerators are 757,1758

Denominators are 421,716

The GCF of 757,1758 is 1 .

LCM of 421,716 is 301436.

The greatest common factor of 757/421,1758/716 = [GCF of 757,1758]/[LCM of 421,716]= 1/301436

Therefore, the GCF of 757/421,1758/716 is 1/301436.

Greatest Common Factor of 757,1758

To find the highest common factor of 757,1758, we have to find the factors of both numbers and list the highest common factor.

The factors of 757 are 1, 757

The factors of 1758 are 1, 2, 3, 6, 293, 586, 879, 1758

The HCF of 757,1758 is 1.

Lets's calculate GCF of 757,1758

Greatest Common Factor (GCF) of 757,1758 By Common Division

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

Greatest Common Factor of 757,1758 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,1758 By Matching Biggest Common Factor Method

Now, list down the factors of 757

:

1,757

Now, list down the factors of 1758

:

1,2,3,6,293,586,879,1758

Greatest Common Factor

We found the factors 757,1758 . The biggest common factor number is the GCF number.
So the greatest common factor 757,1758 is 1.

Lets's calculate LCM of 421,716

Lowest Common Multiple of 421,716 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 301436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301436

Therefore, the GCF of Fractions 757/421,1758/716 is 1/301436

Least Common Multiple of 421,716 with GCF Formula

Least Common Multiple of 421,716 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 421,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,716) = 1

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

GCF(421,716) x common factors =1 x 1 = 1

LCM(421,716) = ( 421 × 716 ) / 1

LCM(421,716) = 301436 / 1

LCM(421,716) = 301436


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FAQs on GCF of Fractions of 757/421, 1758/716

1. What is the HCF of 757,1758?

The HCF of 757,1758 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 757/421, 1758/716?

Answer: GCF of Numerators as per given numbers 757/421, 1758/716 is

GCF of Numerators i.e. for 757,1758 is 1

LCM of denominators i.e. for 421,716 is 301436.

Thus, GCF of Fractions is 1/301436.Finally, GCF of Fractions for 757/421, 1758/716 is 1/301436.