How to Find GCF of 9092/116, 2459/827?

GCF of 9092/116, 2459/827

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 9092/116, 2459/827 i.e 1/95932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9092/116, 2459/827.

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 9092/116,2459/827?

Given fractions are 9092/116,2459/827

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 9092/116,2459/827, numerators are 9092,2459

Denominators are 116,827

The GCF of 9092,2459 is 1 .

LCM of 116,827 is 95932.

The greatest common factor of 9092/116,2459/827 = [GCF of 9092,2459]/[LCM of 116,827]= 1/95932

Therefore, the GCF of 9092/116,2459/827 is 1/95932.

Greatest Common Factor of 9092,2459

To find the highest common factor of 9092,2459, we have to find the factors of both numbers and list the highest common factor.

The factors of 9092 are 1, 2, 4, 2273, 4546, 9092

The factors of 2459 are 1, 2459

The HCF of 9092,2459 is 1.

Lets's calculate GCF of 9092,2459

Greatest Common Factor (GCF) of 9092,2459 By Common Division

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

Greatest Common Factor of 9092,2459 By Matching Biggest Common Factor Method

Now, list down the factors of 9092

1,2,4,2273,4546,9092

Now, list down the factors of 2459

1,2459

Greatest Common Factor

We found the factors 9092,2459 . The biggest common factor number is the GCF number.
So the greatest common factor 9092,2459 is 1.

Lets's calculate LCM of 116,827

Lowest Common Multiple of 116,827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 95932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95932

Therefore, the GCF of Fractions 9092/116,2459/827 is 1/95932

Least Common Multiple of 116,827 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 116,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,827) = 1

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

GCF(116,827) x common factors =1 x 1 = 1

LCM(116,827) = ( 116 × 827 ) / 1

LCM(116,827) = 95932 / 1

LCM(116,827) = 95932

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FAQs on GCF of Fractions of 9092/116, 2459/827

1. What is the HCF of 9092,2459?

The HCF of 9092,2459 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 9092/116, 2459/827?

Answer: GCF of Numerators as per given numbers 9092/116, 2459/827 is

GCF of Numerators i.e. for 9092,2459 is 1

LCM of denominators i.e. for 116,827 is 95932.

Thus, GCF of Fractions is 1/95932.Finally, GCF of Fractions for 9092/116, 2459/827 is 1/95932.