How to Find GCF of 9410/544, 6070/1041?

GCF of 9410/544, 6070/1041

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 9410/544, 6070/1041 i.e 10/566304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9410/544, 6070/1041.

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 9410/544,6070/1041?

Given fractions are 9410/544,6070/1041

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 9410/544,6070/1041, numerators are 9410,6070

Denominators are 544,1041

The GCF of 9410,6070 is 10 .

LCM of 544,1041 is 566304.

The greatest common factor of 9410/544,6070/1041 = [GCF of 9410,6070]/[LCM of 544,1041]= 10/566304

Therefore, the GCF of 9410/544,6070/1041 is 10/566304.

Greatest Common Factor of 9410,6070

To find the highest common factor of 9410,6070, we have to find the factors of both numbers and list the highest common factor.

The factors of 9410 are 1, 2, 5, 10, 941, 1882, 4705, 9410

The factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070

The HCF of 9410,6070 is 10.

Lets's calculate GCF of 9410,6070

Greatest Common Factor (GCF) of 9410,6070 By Common Division

2	9410, 6070
5	4705, 3035
	941, 607

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 9410,6070 By Matching Biggest Common Factor Method

Now, list down the factors of 9410

1,2,5,10,941,1882,4705,9410

Now, list down the factors of 6070

1,2,5,10,607,1214,3035,6070

Greatest Common Factor

We found the factors 9410,6070 . The biggest common factor number is the GCF number.
So the greatest common factor 9410,6070 is 10.

Lets's calculate LCM of 544,1041

Lowest Common Multiple of 544,1041 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 566304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/566304

Therefore, the GCF of Fractions 9410/544,6070/1041 is 10/566304

Least Common Multiple of 544,1041 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 544,1041 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,1041) = 1

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

GCF(544,1041) x common factors =1 x 1 = 1

LCM(544,1041) = ( 544 × 1041 ) / 1

LCM(544,1041) = 566304 / 1

LCM(544,1041) = 566304

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FAQs on GCF of Fractions of 9410/544, 6070/1041

1. What is the HCF of 9410,6070?

The HCF of 9410,6070 is 10

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 9410/544, 6070/1041?

Answer: GCF of Numerators as per given numbers 9410/544, 6070/1041 is

GCF of Numerators i.e. for 9410,6070 is 10

LCM of denominators i.e. for 544,1041 is 566304.

Thus, GCF of Fractions is 10/566304.Finally, GCF of Fractions for 9410/544, 6070/1041 is 10/566304.