How to Find GCF of 9292/942, 4289/7495?

GCF of 9292/942, 4289/7495

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 9292/942, 4289/7495 i.e 1/7060290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9292/942, 4289/7495.

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 9292/942,4289/7495?

Given fractions are 9292/942,4289/7495

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 9292/942,4289/7495, numerators are 9292,4289

Denominators are 942,7495

The GCF of 9292,4289 is 1 .

LCM of 942,7495 is 7060290.

The greatest common factor of 9292/942,4289/7495 = [GCF of 9292,4289]/[LCM of 942,7495]= 1/7060290

Therefore, the GCF of 9292/942,4289/7495 is 1/7060290.

Greatest Common Factor of 9292,4289

To find the highest common factor of 9292,4289, we have to find the factors of both numbers and list the highest common factor.

The factors of 9292 are 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292

The factors of 4289 are 1, 4289

The HCF of 9292,4289 is 1.

Lets's calculate GCF of 9292,4289

Greatest Common Factor (GCF) of 9292,4289 By Common Division

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

Greatest Common Factor of 9292,4289 By Matching Biggest Common Factor Method

Now, list down the factors of 9292

1,2,4,23,46,92,101,202,404,2323,4646,9292

Now, list down the factors of 4289

1,4289

Greatest Common Factor

We found the factors 9292,4289 . The biggest common factor number is the GCF number.
So the greatest common factor 9292,4289 is 1.

Lets's calculate LCM of 942,7495

Lowest Common Multiple of 942,7495 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7060290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7060290

Therefore, the GCF of Fractions 9292/942,4289/7495 is 1/7060290

Least Common Multiple of 942,7495 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 942,7495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,7495) = 1

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

GCF(942,7495) x common factors =1 x 1 = 1

LCM(942,7495) = ( 942 × 7495 ) / 1

LCM(942,7495) = 7060290 / 1

LCM(942,7495) = 7060290

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9292/942, 4289/7495

1. What is the HCF of 9292,4289?

The HCF of 9292,4289 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 9292/942, 4289/7495?

Answer: GCF of Numerators as per given numbers 9292/942, 4289/7495 is

GCF of Numerators i.e. for 9292,4289 is 1

LCM of denominators i.e. for 942,7495 is 7060290.

Thus, GCF of Fractions is 1/7060290.Finally, GCF of Fractions for 9292/942, 4289/7495 is 1/7060290.