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GCF of 418/628, 7459/864

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 418/628, 7459/864 i.e 1/135648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 418/628, 7459/864.

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 418/628,7459/864?

Given fractions are 418/628,7459/864

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 418/628,7459/864, numerators are 418,7459

Denominators are 628,864

The GCF of 418,7459 is 1 .

LCM of 628,864 is 135648.

The greatest common factor of 418/628,7459/864 = [GCF of 418,7459]/[LCM of 628,864]= 1/135648

Therefore, the GCF of 418/628,7459/864 is 1/135648.

Greatest Common Factor of 418,7459

To find the highest common factor of 418,7459, we have to find the factors of both numbers and list the highest common factor.

The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418

The factors of 7459 are 1, 7459

The HCF of 418,7459 is 1.

Lets's calculate GCF of 418,7459

Greatest Common Factor (GCF) of 418,7459 By Common Division

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

Greatest Common Factor of 418,7459 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,7459 By Matching Biggest Common Factor Method

Now, list down the factors of 418

:

1,2,11,19,22,38,209,418

Now, list down the factors of 7459

:

1,7459

Greatest Common Factor

We found the factors 418,7459 . The biggest common factor number is the GCF number.
So the greatest common factor 418,7459 is 1.

Lets's calculate LCM of 628,864

Lowest Common Multiple of 628,864 using Common Division

2 628, 864
2 314, 432
157, 216

∴ So the LCM of the given numbers is 2 x 2 x 157 x 216 = 135648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135648

Therefore, the GCF of Fractions 418/628,7459/864 is 1/135648

Least Common Multiple of 628,864 with GCF Formula

Least Common Multiple of 628,864 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 628,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,864) = 4

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

GCF(628,864) x common factors =4 x 1 = 4

LCM(628,864) = ( 628 × 864 ) / 4

LCM(628,864) = 542592 / 4

LCM(628,864) = 135648


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FAQs on GCF of Fractions of 418/628, 7459/864

1. What is the HCF of 418,7459?

The HCF of 418,7459 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 418/628, 7459/864?

Answer: GCF of Numerators as per given numbers 418/628, 7459/864 is

GCF of Numerators i.e. for 418,7459 is 1

LCM of denominators i.e. for 628,864 is 135648.

Thus, GCF of Fractions is 1/135648.Finally, GCF of Fractions for 418/628, 7459/864 is 1/135648.