How to Find GCF of 9130/556, 6514/229?

GCF of 9130/556, 6514/229

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 9130/556, 6514/229 i.e 2/127324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9130/556, 6514/229.

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 9130/556,6514/229?

Given fractions are 9130/556,6514/229

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 9130/556,6514/229, numerators are 9130,6514

Denominators are 556,229

The GCF of 9130,6514 is 2 .

LCM of 556,229 is 127324.

The greatest common factor of 9130/556,6514/229 = [GCF of 9130,6514]/[LCM of 556,229]= 2/127324

Therefore, the GCF of 9130/556,6514/229 is 2/127324.

Greatest Common Factor of 9130,6514

To find the highest common factor of 9130,6514, we have to find the factors of both numbers and list the highest common factor.

The factors of 9130 are 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130

The factors of 6514 are 1, 2, 3257, 6514

The HCF of 9130,6514 is 2.

Lets's calculate GCF of 9130,6514

Greatest Common Factor (GCF) of 9130,6514 By Common Division

2	9130, 6514
	4565, 3257

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

Greatest Common Factor of 9130,6514 By Matching Biggest Common Factor Method

Now, list down the factors of 9130

1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130

Now, list down the factors of 6514

1,2,3257,6514

Greatest Common Factor

We found the factors 9130,6514 . The biggest common factor number is the GCF number.
So the greatest common factor 9130,6514 is 2.

Lets's calculate LCM of 556,229

Lowest Common Multiple of 556,229 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 127324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/127324

Therefore, the GCF of Fractions 9130/556,6514/229 is 2/127324

Least Common Multiple of 556,229 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 556,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,229) = 1

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

GCF(556,229) x common factors =1 x 1 = 1

LCM(556,229) = ( 556 × 229 ) / 1

LCM(556,229) = 127324 / 1

LCM(556,229) = 127324

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FAQs on GCF of Fractions of 9130/556, 6514/229

1. What is the HCF of 9130,6514?

The HCF of 9130,6514 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 9130/556, 6514/229?

Answer: GCF of Numerators as per given numbers 9130/556, 6514/229 is

GCF of Numerators i.e. for 9130,6514 is 2

LCM of denominators i.e. for 556,229 is 127324.

Thus, GCF of Fractions is 2/127324.Finally, GCF of Fractions for 9130/556, 6514/229 is 2/127324.