How to Find GCF of 2252/179, 8523/6422?

GCF of 2252/179, 8523/6422

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 2252/179, 8523/6422 i.e 1/1149538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2252/179, 8523/6422.

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 2252/179,8523/6422?

Given fractions are 2252/179,8523/6422

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 2252/179,8523/6422, numerators are 2252,8523

Denominators are 179,6422

The GCF of 2252,8523 is 1 .

LCM of 179,6422 is 1149538.

The greatest common factor of 2252/179,8523/6422 = [GCF of 2252,8523]/[LCM of 179,6422]= 1/1149538

Therefore, the GCF of 2252/179,8523/6422 is 1/1149538.

Greatest Common Factor of 2252,8523

To find the highest common factor of 2252,8523, we have to find the factors of both numbers and list the highest common factor.

The factors of 2252 are 1, 2, 4, 563, 1126, 2252

The factors of 8523 are 1, 3, 9, 947, 2841, 8523

The HCF of 2252,8523 is 1.

Lets's calculate GCF of 2252,8523

Greatest Common Factor (GCF) of 2252,8523 By Common Division

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

Greatest Common Factor of 2252,8523 By Matching Biggest Common Factor Method

Now, list down the factors of 2252

1,2,4,563,1126,2252

Now, list down the factors of 8523

1,3,9,947,2841,8523

Greatest Common Factor

We found the factors 2252,8523 . The biggest common factor number is the GCF number.
So the greatest common factor 2252,8523 is 1.

Lets's calculate LCM of 179,6422

Lowest Common Multiple of 179,6422 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1149538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1149538

Therefore, the GCF of Fractions 2252/179,8523/6422 is 1/1149538

Least Common Multiple of 179,6422 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 179,6422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,6422) = 1

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

GCF(179,6422) x common factors =1 x 1 = 1

LCM(179,6422) = ( 179 × 6422 ) / 1

LCM(179,6422) = 1149538 / 1

LCM(179,6422) = 1149538

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FAQs on GCF of Fractions of 2252/179, 8523/6422

1. What is the HCF of 2252,8523?

The HCF of 2252,8523 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 2252/179, 8523/6422?

Answer: GCF of Numerators as per given numbers 2252/179, 8523/6422 is

GCF of Numerators i.e. for 2252,8523 is 1

LCM of denominators i.e. for 179,6422 is 1149538.

Thus, GCF of Fractions is 1/1149538.Finally, GCF of Fractions for 2252/179, 8523/6422 is 1/1149538.