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GCF of 452/700, 9989/454

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 452/700, 9989/454 i.e 1/158900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/700, 9989/454.

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 452/700,9989/454?

Given fractions are 452/700,9989/454

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 452/700,9989/454, numerators are 452,9989

Denominators are 700,454

The GCF of 452,9989 is 1 .

LCM of 700,454 is 158900.

The greatest common factor of 452/700,9989/454 = [GCF of 452,9989]/[LCM of 700,454]= 1/158900

Therefore, the GCF of 452/700,9989/454 is 1/158900.

Greatest Common Factor of 452,9989

To find the highest common factor of 452,9989, we have to find the factors of both numbers and list the highest common factor.

The factors of 452 are 1, 2, 4, 113, 226, 452

The factors of 9989 are 1, 7, 1427, 9989

The HCF of 452,9989 is 1.

Lets's calculate GCF of 452,9989

Greatest Common Factor (GCF) of 452,9989 By Common Division

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

Greatest Common Factor of 452,9989 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,9989 By Matching Biggest Common Factor Method

Now, list down the factors of 452

:

1,2,4,113,226,452

Now, list down the factors of 9989

:

1,7,1427,9989

Greatest Common Factor

We found the factors 452,9989 . The biggest common factor number is the GCF number.
So the greatest common factor 452,9989 is 1.

Lets's calculate LCM of 700,454

Lowest Common Multiple of 700,454 using Common Division

2 700, 454
350, 227

∴ So the LCM of the given numbers is 2 x 350 x 227 = 158900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158900

Therefore, the GCF of Fractions 452/700,9989/454 is 1/158900

Least Common Multiple of 700,454 with GCF Formula

Least Common Multiple of 700,454 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 700,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,454) = 2

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

GCF(700,454) x common factors =2 x 1 = 2

LCM(700,454) = ( 700 × 454 ) / 2

LCM(700,454) = 317800 / 2

LCM(700,454) = 158900


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FAQs on GCF of Fractions of 452/700, 9989/454

1. What is the HCF of 452,9989?

The HCF of 452,9989 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 452/700, 9989/454?

Answer: GCF of Numerators as per given numbers 452/700, 9989/454 is

GCF of Numerators i.e. for 452,9989 is 1

LCM of denominators i.e. for 700,454 is 158900.

Thus, GCF of Fractions is 1/158900.Finally, GCF of Fractions for 452/700, 9989/454 is 1/158900.