How to Find GCF of 9490/359, 3102/6950?

GCF of 9490/359, 3102/6950

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 9490/359, 3102/6950 i.e 2/2495050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9490/359, 3102/6950.

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 9490/359,3102/6950?

Given fractions are 9490/359,3102/6950

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 9490/359,3102/6950, numerators are 9490,3102

Denominators are 359,6950

The GCF of 9490,3102 is 2 .

LCM of 359,6950 is 2495050.

The greatest common factor of 9490/359,3102/6950 = [GCF of 9490,3102]/[LCM of 359,6950]= 2/2495050

Therefore, the GCF of 9490/359,3102/6950 is 2/2495050.

Greatest Common Factor of 9490,3102

To find the highest common factor of 9490,3102, we have to find the factors of both numbers and list the highest common factor.

The factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490

The factors of 3102 are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102

The HCF of 9490,3102 is 2.

Lets's calculate GCF of 9490,3102

Greatest Common Factor (GCF) of 9490,3102 By Common Division

2	9490, 3102
	4745, 1551

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9490,3102 By Matching Biggest Common Factor Method

Now, list down the factors of 9490

1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490

Now, list down the factors of 3102

1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102

Greatest Common Factor

We found the factors 9490,3102 . The biggest common factor number is the GCF number.
So the greatest common factor 9490,3102 is 2.

Lets's calculate LCM of 359,6950

Lowest Common Multiple of 359,6950 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2495050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2495050

Therefore, the GCF of Fractions 9490/359,3102/6950 is 2/2495050

Least Common Multiple of 359,6950 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 359,6950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,6950) = 1

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

GCF(359,6950) x common factors =1 x 1 = 1

LCM(359,6950) = ( 359 × 6950 ) / 1

LCM(359,6950) = 2495050 / 1

LCM(359,6950) = 2495050

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9490/359, 3102/6950

1. What is the HCF of 9490,3102?

The HCF of 9490,3102 is 2

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 9490/359, 3102/6950?

Answer: GCF of Numerators as per given numbers 9490/359, 3102/6950 is

GCF of Numerators i.e. for 9490,3102 is 2

LCM of denominators i.e. for 359,6950 is 2495050.

Thus, GCF of Fractions is 2/2495050.Finally, GCF of Fractions for 9490/359, 3102/6950 is 2/2495050.