How to Find GCF of 9502/380, 1551/6004?

GCF of 9502/380, 1551/6004

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 9502/380, 1551/6004 i.e 1/30020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9502/380, 1551/6004.

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 9502/380,1551/6004?

Given fractions are 9502/380,1551/6004

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 9502/380,1551/6004, numerators are 9502,1551

Denominators are 380,6004

The GCF of 9502,1551 is 1 .

LCM of 380,6004 is 30020.

The greatest common factor of 9502/380,1551/6004 = [GCF of 9502,1551]/[LCM of 380,6004]= 1/30020

Therefore, the GCF of 9502/380,1551/6004 is 1/30020.

Greatest Common Factor of 9502,1551

To find the highest common factor of 9502,1551, we have to find the factors of both numbers and list the highest common factor.

The factors of 9502 are 1, 2, 4751, 9502

The factors of 1551 are 1, 3, 11, 33, 47, 141, 517, 1551

The HCF of 9502,1551 is 1.

Lets's calculate GCF of 9502,1551

Greatest Common Factor (GCF) of 9502,1551 By Common Division

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

Greatest Common Factor of 9502,1551 By Matching Biggest Common Factor Method

Now, list down the factors of 9502

1,2,4751,9502

Now, list down the factors of 1551

1,3,11,33,47,141,517,1551

Greatest Common Factor

We found the factors 9502,1551 . The biggest common factor number is the GCF number.
So the greatest common factor 9502,1551 is 1.

Lets's calculate LCM of 380,6004

Lowest Common Multiple of 380,6004 using Common Division

2	380, 6004
2	190, 3002
19	95, 1501
	5, 79

∴ So the LCM of the given numbers is 2 x 2 x 19 x 5 x 79 = 30020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30020

Therefore, the GCF of Fractions 9502/380,1551/6004 is 1/30020

Least Common Multiple of 380,6004 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 380,6004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,6004) = 76

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

GCF(380,6004) x common factors =76 x 1 = 76

LCM(380,6004) = ( 380 × 6004 ) / 76

LCM(380,6004) = 2281520 / 76

LCM(380,6004) = 30020

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9502/380, 1551/6004

1. What is the HCF of 9502,1551?

The HCF of 9502,1551 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 9502/380, 1551/6004?

Answer: GCF of Numerators as per given numbers 9502/380, 1551/6004 is

GCF of Numerators i.e. for 9502,1551 is 1

LCM of denominators i.e. for 380,6004 is 30020.

Thus, GCF of Fractions is 1/30020.Finally, GCF of Fractions for 9502/380, 1551/6004 is 1/30020.