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GCF of 883/360, 749/753

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 883/360, 749/753 i.e 1/90360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 883/360, 749/753.

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 883/360,749/753?

Given fractions are 883/360,749/753

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 883/360,749/753, numerators are 883,749

Denominators are 360,753

The GCF of 883,749 is 1 .

LCM of 360,753 is 90360.

The greatest common factor of 883/360,749/753 = [GCF of 883,749]/[LCM of 360,753]= 1/90360

Therefore, the GCF of 883/360,749/753 is 1/90360.

Greatest Common Factor of 883,749

To find the highest common factor of 883,749, we have to find the factors of both numbers and list the highest common factor.

The factors of 883 are 1, 883

The factors of 749 are 1, 7, 107, 749

The HCF of 883,749 is 1.

Lets's calculate GCF of 883,749

Greatest Common Factor (GCF) of 883,749 By Common Division

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

Greatest Common Factor of 883,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,749 By Matching Biggest Common Factor Method

Now, list down the factors of 883

:

1,883

Now, list down the factors of 749

:

1,7,107,749

Greatest Common Factor

We found the factors 883,749 . The biggest common factor number is the GCF number.
So the greatest common factor 883,749 is 1.

Lets's calculate LCM of 360,753

Lowest Common Multiple of 360,753 using Common Division

3 360, 753
120, 251

∴ So the LCM of the given numbers is 3 x 120 x 251 = 90360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90360

Therefore, the GCF of Fractions 883/360,749/753 is 1/90360

Least Common Multiple of 360,753 with GCF Formula

Least Common Multiple of 360,753 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 360,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,753) = 3

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

GCF(360,753) x common factors =3 x 1 = 3

LCM(360,753) = ( 360 × 753 ) / 3

LCM(360,753) = 271080 / 3

LCM(360,753) = 90360


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FAQs on GCF of Fractions of 883/360, 749/753

1. What is the HCF of 883,749?

The HCF of 883,749 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 883/360, 749/753?

Answer: GCF of Numerators as per given numbers 883/360, 749/753 is

GCF of Numerators i.e. for 883,749 is 1

LCM of denominators i.e. for 360,753 is 90360.

Thus, GCF of Fractions is 1/90360.Finally, GCF of Fractions for 883/360, 749/753 is 1/90360.