How to Find GCF of 9219/947, 4603/4975?

GCF of 9219/947, 4603/4975

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 9219/947, 4603/4975 i.e 1/4711325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9219/947, 4603/4975.

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 9219/947,4603/4975?

Given fractions are 9219/947,4603/4975

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 9219/947,4603/4975, numerators are 9219,4603

Denominators are 947,4975

The GCF of 9219,4603 is 1 .

LCM of 947,4975 is 4711325.

The greatest common factor of 9219/947,4603/4975 = [GCF of 9219,4603]/[LCM of 947,4975]= 1/4711325

Therefore, the GCF of 9219/947,4603/4975 is 1/4711325.

Greatest Common Factor of 9219,4603

To find the highest common factor of 9219,4603, we have to find the factors of both numbers and list the highest common factor.

The factors of 9219 are 1, 3, 7, 21, 439, 1317, 3073, 9219

The factors of 4603 are 1, 4603

The HCF of 9219,4603 is 1.

Lets's calculate GCF of 9219,4603

Greatest Common Factor (GCF) of 9219,4603 By Common Division

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

Greatest Common Factor of 9219,4603 By Matching Biggest Common Factor Method

Now, list down the factors of 9219

1,3,7,21,439,1317,3073,9219

Now, list down the factors of 4603

1,4603

Greatest Common Factor

We found the factors 9219,4603 . The biggest common factor number is the GCF number.
So the greatest common factor 9219,4603 is 1.

Lets's calculate LCM of 947,4975

Lowest Common Multiple of 947,4975 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4711325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4711325

Therefore, the GCF of Fractions 9219/947,4603/4975 is 1/4711325

Least Common Multiple of 947,4975 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 947,4975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,4975) = 1

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

GCF(947,4975) x common factors =1 x 1 = 1

LCM(947,4975) = ( 947 × 4975 ) / 1

LCM(947,4975) = 4711325 / 1

LCM(947,4975) = 4711325

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FAQs on GCF of Fractions of 9219/947, 4603/4975

1. What is the HCF of 9219,4603?

The HCF of 9219,4603 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 9219/947, 4603/4975?

Answer: GCF of Numerators as per given numbers 9219/947, 4603/4975 is

GCF of Numerators i.e. for 9219,4603 is 1

LCM of denominators i.e. for 947,4975 is 4711325.

Thus, GCF of Fractions is 1/4711325.Finally, GCF of Fractions for 9219/947, 4603/4975 is 1/4711325.