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GCF of 645/222, 597/749

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 645/222, 597/749 i.e 3/166278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 645/222, 597/749.

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 645/222,597/749?

Given fractions are 645/222,597/749

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 645/222,597/749, numerators are 645,597

Denominators are 222,749

The GCF of 645,597 is 3 .

LCM of 222,749 is 166278.

The greatest common factor of 645/222,597/749 = [GCF of 645,597]/[LCM of 222,749]= 3/166278

Therefore, the GCF of 645/222,597/749 is 3/166278.

Greatest Common Factor of 645,597

To find the highest common factor of 645,597, we have to find the factors of both numbers and list the highest common factor.

The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645

The factors of 597 are 1, 3, 199, 597

The HCF of 645,597 is 3.

Lets's calculate GCF of 645,597

Greatest Common Factor (GCF) of 645,597 By Common Division

3 645, 597
215, 199

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 645,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,597 By Matching Biggest Common Factor Method

Now, list down the factors of 645

:

1,3,5,15,43,129,215,645

Now, list down the factors of 597

:

1,3,199,597

Greatest Common Factor

We found the factors 645,597 . The biggest common factor number is the GCF number.
So the greatest common factor 645,597 is 3.

Lets's calculate LCM of 222,749

Lowest Common Multiple of 222,749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 166278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/166278

Therefore, the GCF of Fractions 645/222,597/749 is 3/166278

Least Common Multiple of 222,749 with GCF Formula

Least Common Multiple of 222,749 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 222,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,749) = 1

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

GCF(222,749) x common factors =1 x 1 = 1

LCM(222,749) = ( 222 × 749 ) / 1

LCM(222,749) = 166278 / 1

LCM(222,749) = 166278


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FAQs on GCF of Fractions of 645/222, 597/749

1. What is the HCF of 645,597?

The HCF of 645,597 is 3

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 645/222, 597/749?

Answer: GCF of Numerators as per given numbers 645/222, 597/749 is

GCF of Numerators i.e. for 645,597 is 3

LCM of denominators i.e. for 222,749 is 166278.

Thus, GCF of Fractions is 3/166278.Finally, GCF of Fractions for 645/222, 597/749 is 3/166278.