How to Find GCF of 92/989, 45/796, 653/705?

GCF of 92/989, 45/796, 653/705

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 92/989, 45/796, 653/705 i.e 1/555007020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/989, 45/796, 653/705.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 92/989,45/796,653/705?

Given fractions are 92/989,45/796,653/705

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 92/989,45/796,653/705, numerators are 92,45,653

Denominators are 989,796,705

The GCF of 92,45,653 is 1 .

LCM of 989,796,705 is 555007020.

The greatest common factor of 92/989,45/796,653/705 = [GCF of 92,45,653]/[LCM of 989,796,705]= 1/555007020

Therefore, the GCF of 92/989,45/796,653/705 is 1/555007020.

Greatest Common Factor of 92,45,653

To find the highest common factor of 92,45,653, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 45 are 1, 3, 5, 9, 15, 45

The factors of 653 are 1, 653

The HCF of 92,45,653 is 1.

Lets's calculate GCF of 92,45,653

Greatest Common Factor (GCF) of 92,45,653 By Common Division

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

Greatest Common Factor of 92,45,653 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 45

1,3,5,9,15,45

Now, list down the factors of 653

1,653

Greatest Common Factor

We found the factors 92,45,653 . The biggest common factor number is the GCF number.
So the greatest common factor 92,45,653 is 1.

Lets's calculate LCM of 989,796,705

Lowest Common Multiple of 989,796,705 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 555007020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/555007020

Therefore, the GCF of Fractions 92/989,45/796,653/705 is 1/555007020

Least Common Multiple of 989,796,705 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 989,796,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,796,705) = 1

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

GCF(989,796,705) x common factors =1 x 1 = 1

LCM(989,796,705) = ( 989 × 796 × 705 ) / 1

LCM(989,796,705) = 555007020 / 1

LCM(989,796,705) = 555007020

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 92/989, 45/796, 653/705

1. What is the HCF of 92,45,653?

The HCF of 92,45,653 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 92/989, 45/796, 653/705?

Answer: GCF of Numerators as per given numbers 92/989, 45/796, 653/705 is

GCF of Numerators i.e. for 92,45,653 is 1

LCM of denominators i.e. for 989,796,705 is 555007020.

Thus, GCF of Fractions is 1/555007020.Finally, GCF of Fractions for 92/989, 45/796, 653/705 is 1/555007020.