How to Find GCF of 1979/763, 8622/1675?

GCF of 1979/763, 8622/1675

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 1979/763, 8622/1675 i.e 1/1278025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1979/763, 8622/1675.

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 1979/763,8622/1675?

Given fractions are 1979/763,8622/1675

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 1979/763,8622/1675, numerators are 1979,8622

Denominators are 763,1675

The GCF of 1979,8622 is 1 .

LCM of 763,1675 is 1278025.

The greatest common factor of 1979/763,8622/1675 = [GCF of 1979,8622]/[LCM of 763,1675]= 1/1278025

Therefore, the GCF of 1979/763,8622/1675 is 1/1278025.

Greatest Common Factor of 1979,8622

To find the highest common factor of 1979,8622, we have to find the factors of both numbers and list the highest common factor.

The factors of 1979 are 1, 1979

The factors of 8622 are 1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622

The HCF of 1979,8622 is 1.

Lets's calculate GCF of 1979,8622

Greatest Common Factor (GCF) of 1979,8622 By Common Division

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

Greatest Common Factor of 1979,8622 By Matching Biggest Common Factor Method

Now, list down the factors of 1979

1,1979

Now, list down the factors of 8622

1,2,3,6,9,18,479,958,1437,2874,4311,8622

Greatest Common Factor

We found the factors 1979,8622 . The biggest common factor number is the GCF number.
So the greatest common factor 1979,8622 is 1.

Lets's calculate LCM of 763,1675

Lowest Common Multiple of 763,1675 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1278025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1278025

Therefore, the GCF of Fractions 1979/763,8622/1675 is 1/1278025

Least Common Multiple of 763,1675 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 763,1675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,1675) = 1

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

GCF(763,1675) x common factors =1 x 1 = 1

LCM(763,1675) = ( 763 × 1675 ) / 1

LCM(763,1675) = 1278025 / 1

LCM(763,1675) = 1278025

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1979/763, 8622/1675

1. What is the HCF of 1979,8622?

The HCF of 1979,8622 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 1979/763, 8622/1675?

Answer: GCF of Numerators as per given numbers 1979/763, 8622/1675 is

GCF of Numerators i.e. for 1979,8622 is 1

LCM of denominators i.e. for 763,1675 is 1278025.

Thus, GCF of Fractions is 1/1278025.Finally, GCF of Fractions for 1979/763, 8622/1675 is 1/1278025.