How to Find GCF of 2123/148, 8607/520?

GCF of 2123/148, 8607/520

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 2123/148, 8607/520 i.e 1/19240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2123/148, 8607/520.

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 2123/148,8607/520?

Given fractions are 2123/148,8607/520

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 2123/148,8607/520, numerators are 2123,8607

Denominators are 148,520

The GCF of 2123,8607 is 1 .

LCM of 148,520 is 19240.

The greatest common factor of 2123/148,8607/520 = [GCF of 2123,8607]/[LCM of 148,520]= 1/19240

Therefore, the GCF of 2123/148,8607/520 is 1/19240.

Greatest Common Factor of 2123,8607

To find the highest common factor of 2123,8607, we have to find the factors of both numbers and list the highest common factor.

The factors of 2123 are 1, 11, 193, 2123

The factors of 8607 are 1, 3, 19, 57, 151, 453, 2869, 8607

The HCF of 2123,8607 is 1.

Lets's calculate GCF of 2123,8607

Greatest Common Factor (GCF) of 2123,8607 By Common Division

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

Greatest Common Factor of 2123,8607 By Matching Biggest Common Factor Method

Now, list down the factors of 2123

1,11,193,2123

Now, list down the factors of 8607

1,3,19,57,151,453,2869,8607

Greatest Common Factor

We found the factors 2123,8607 . The biggest common factor number is the GCF number.
So the greatest common factor 2123,8607 is 1.

Lets's calculate LCM of 148,520

Lowest Common Multiple of 148,520 using Common Division

2	148, 520
2	74, 260
	37, 130

∴ So the LCM of the given numbers is 2 x 2 x 37 x 130 = 19240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19240

Therefore, the GCF of Fractions 2123/148,8607/520 is 1/19240

Least Common Multiple of 148,520 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 148,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,520) = 4

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

GCF(148,520) x common factors =4 x 1 = 4

LCM(148,520) = ( 148 × 520 ) / 4

LCM(148,520) = 76960 / 4

LCM(148,520) = 19240

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FAQs on GCF of Fractions of 2123/148, 8607/520

1. What is the HCF of 2123,8607?

The HCF of 2123,8607 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 2123/148, 8607/520?

Answer: GCF of Numerators as per given numbers 2123/148, 8607/520 is

GCF of Numerators i.e. for 2123,8607 is 1

LCM of denominators i.e. for 148,520 is 19240.

Thus, GCF of Fractions is 1/19240.Finally, GCF of Fractions for 2123/148, 8607/520 is 1/19240.