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GCF of 4109/700, 6436/496

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 4109/700, 6436/496 i.e 1/86800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4109/700, 6436/496.

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 4109/700,6436/496?

Given fractions are 4109/700,6436/496

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 4109/700,6436/496, numerators are 4109,6436

Denominators are 700,496

The GCF of 4109,6436 is 1 .

LCM of 700,496 is 86800.

The greatest common factor of 4109/700,6436/496 = [GCF of 4109,6436]/[LCM of 700,496]= 1/86800

Therefore, the GCF of 4109/700,6436/496 is 1/86800.

Greatest Common Factor of 4109,6436

To find the highest common factor of 4109,6436, we have to find the factors of both numbers and list the highest common factor.

The factors of 4109 are 1, 7, 587, 4109

The factors of 6436 are 1, 2, 4, 1609, 3218, 6436

The HCF of 4109,6436 is 1.

Lets's calculate GCF of 4109,6436

Greatest Common Factor (GCF) of 4109,6436 By Common Division

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

Greatest Common Factor of 4109,6436 By Matching Biggest Common Factor Method

Greatest Common Factor of 4109,6436 By Matching Biggest Common Factor Method

Now, list down the factors of 4109

:

1,7,587,4109

Now, list down the factors of 6436

:

1,2,4,1609,3218,6436

Greatest Common Factor

We found the factors 4109,6436 . The biggest common factor number is the GCF number.
So the greatest common factor 4109,6436 is 1.

Lets's calculate LCM of 700,496

Lowest Common Multiple of 700,496 using Common Division

2 700, 496
2 350, 248
175, 124

∴ So the LCM of the given numbers is 2 x 2 x 175 x 124 = 86800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86800

Therefore, the GCF of Fractions 4109/700,6436/496 is 1/86800

Least Common Multiple of 700,496 with GCF Formula

Least Common Multiple of 700,496 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 700,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,496) = 4

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

GCF(700,496) x common factors =4 x 1 = 4

LCM(700,496) = ( 700 × 496 ) / 4

LCM(700,496) = 347200 / 4

LCM(700,496) = 86800


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FAQs on GCF of Fractions of 4109/700, 6436/496

1. What is the HCF of 4109,6436?

The HCF of 4109,6436 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 4109/700, 6436/496?

Answer: GCF of Numerators as per given numbers 4109/700, 6436/496 is

GCF of Numerators i.e. for 4109,6436 is 1

LCM of denominators i.e. for 700,496 is 86800.

Thus, GCF of Fractions is 1/86800.Finally, GCF of Fractions for 4109/700, 6436/496 is 1/86800.