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GCF of 2237/912, 9567/322

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 2237/912, 9567/322 i.e 1/146832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2237/912, 9567/322.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 2237/912,9567/322?

Given fractions are 2237/912,9567/322

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 2237/912,9567/322, numerators are 2237,9567

Denominators are 912,322

The GCF of 2237,9567 is 1 .

LCM of 912,322 is 146832.

The greatest common factor of 2237/912,9567/322 = [GCF of 2237,9567]/[LCM of 912,322]= 1/146832

Therefore, the GCF of 2237/912,9567/322 is 1/146832.

Greatest Common Factor of 2237,9567

To find the highest common factor of 2237,9567, we have to find the factors of both numbers and list the highest common factor.

The factors of 2237 are 1, 2237

The factors of 9567 are 1, 3, 9, 1063, 3189, 9567

The HCF of 2237,9567 is 1.

Lets's calculate GCF of 2237,9567

Greatest Common Factor (GCF) of 2237,9567 By Common Division

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

Greatest Common Factor of 2237,9567 By Matching Biggest Common Factor Method

Greatest Common Factor of 2237,9567 By Matching Biggest Common Factor Method

Now, list down the factors of 2237

:

1,2237

Now, list down the factors of 9567

:

1,3,9,1063,3189,9567

Greatest Common Factor

We found the factors 2237,9567 . The biggest common factor number is the GCF number.
So the greatest common factor 2237,9567 is 1.

Lets's calculate LCM of 912,322

Lowest Common Multiple of 912,322 using Common Division

2 912, 322
456, 161

∴ So the LCM of the given numbers is 2 x 456 x 161 = 146832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146832

Therefore, the GCF of Fractions 2237/912,9567/322 is 1/146832

Least Common Multiple of 912,322 with GCF Formula

Least Common Multiple of 912,322 with GCF Formula

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

We need to calculate greatest common factor of 912,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,322) = 2

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

GCF(912,322) x common factors =2 x 1 = 2

LCM(912,322) = ( 912 × 322 ) / 2

LCM(912,322) = 293664 / 2

LCM(912,322) = 146832


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FAQs on GCF of Fractions of 2237/912, 9567/322

1. What is the HCF of 2237,9567?

The HCF of 2237,9567 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 2237/912, 9567/322?

Answer: GCF of Numerators as per given numbers 2237/912, 9567/322 is

GCF of Numerators i.e. for 2237,9567 is 1

LCM of denominators i.e. for 912,322 is 146832.

Thus, GCF of Fractions is 1/146832.Finally, GCF of Fractions for 2237/912, 9567/322 is 1/146832.