How to Find GCF of 902/604, 1107/9544?

GCF of 902/604, 1107/9544

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 902/604, 1107/9544 i.e 41/1441144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/604, 1107/9544.

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 902/604,1107/9544?

Given fractions are 902/604,1107/9544

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 902/604,1107/9544, numerators are 902,1107

Denominators are 604,9544

The GCF of 902,1107 is 41 .

LCM of 604,9544 is 1441144.

The greatest common factor of 902/604,1107/9544 = [GCF of 902,1107]/[LCM of 604,9544]= 41/1441144

Therefore, the GCF of 902/604,1107/9544 is 41/1441144.

Greatest Common Factor of 902,1107

To find the highest common factor of 902,1107, we have to find the factors of both numbers and list the highest common factor.

The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902

The factors of 1107 are 1, 3, 9, 27, 41, 123, 369, 1107

The HCF of 902,1107 is 41.

Lets's calculate GCF of 902,1107

Greatest Common Factor (GCF) of 902,1107 By Common Division

41	902, 1107
	22, 27

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 902,1107 By Matching Biggest Common Factor Method

Now, list down the factors of 902

1,2,11,22,41,82,451,902

Now, list down the factors of 1107

1,3,9,27,41,123,369,1107

Greatest Common Factor

We found the factors 902,1107 . The biggest common factor number is the GCF number.
So the greatest common factor 902,1107 is 41.

Lets's calculate LCM of 604,9544

Lowest Common Multiple of 604,9544 using Common Division

2	604, 9544
2	302, 4772
	151, 2386

∴ So the LCM of the given numbers is 2 x 2 x 151 x 2386 = 1441144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/1441144

Therefore, the GCF of Fractions 902/604,1107/9544 is 41/1441144

Least Common Multiple of 604,9544 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 604,9544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,9544) = 4

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

GCF(604,9544) x common factors =4 x 1 = 4

LCM(604,9544) = ( 604 × 9544 ) / 4

LCM(604,9544) = 5764576 / 4

LCM(604,9544) = 1441144

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FAQs on GCF of Fractions of 902/604, 1107/9544

1. What is the HCF of 902,1107?

The HCF of 902,1107 is 41

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 902/604, 1107/9544?

Answer: GCF of Numerators as per given numbers 902/604, 1107/9544 is

GCF of Numerators i.e. for 902,1107 is 41

LCM of denominators i.e. for 604,9544 is 1441144.

Thus, GCF of Fractions is 41/1441144.Finally, GCF of Fractions for 902/604, 1107/9544 is 41/1441144.