How to Find GCF of 9220/790, 7902/5400?

GCF of 9220/790, 7902/5400

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 9220/790, 7902/5400 i.e 2/426600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9220/790, 7902/5400.

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 9220/790,7902/5400?

Given fractions are 9220/790,7902/5400

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 9220/790,7902/5400, numerators are 9220,7902

Denominators are 790,5400

The GCF of 9220,7902 is 2 .

LCM of 790,5400 is 426600.

The greatest common factor of 9220/790,7902/5400 = [GCF of 9220,7902]/[LCM of 790,5400]= 2/426600

Therefore, the GCF of 9220/790,7902/5400 is 2/426600.

Greatest Common Factor of 9220,7902

To find the highest common factor of 9220,7902, we have to find the factors of both numbers and list the highest common factor.

The factors of 9220 are 1, 2, 4, 5, 10, 20, 461, 922, 1844, 2305, 4610, 9220

The factors of 7902 are 1, 2, 3, 6, 9, 18, 439, 878, 1317, 2634, 3951, 7902

The HCF of 9220,7902 is 2.

Lets's calculate GCF of 9220,7902

Greatest Common Factor (GCF) of 9220,7902 By Common Division

2	9220, 7902
	4610, 3951

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

Greatest Common Factor of 9220,7902 By Matching Biggest Common Factor Method

Now, list down the factors of 9220

1,2,4,5,10,20,461,922,1844,2305,4610,9220

Now, list down the factors of 7902

1,2,3,6,9,18,439,878,1317,2634,3951,7902

Greatest Common Factor

We found the factors 9220,7902 . The biggest common factor number is the GCF number.
So the greatest common factor 9220,7902 is 2.

Lets's calculate LCM of 790,5400

Lowest Common Multiple of 790,5400 using Common Division

2	790, 5400
5	395, 2700
	79, 540

∴ So the LCM of the given numbers is 2 x 5 x 79 x 540 = 426600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/426600

Therefore, the GCF of Fractions 9220/790,7902/5400 is 2/426600

Least Common Multiple of 790,5400 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 790,5400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,5400) = 10

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

GCF(790,5400) x common factors =10 x 1 = 10

LCM(790,5400) = ( 790 × 5400 ) / 10

LCM(790,5400) = 4266000 / 10

LCM(790,5400) = 426600

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9220/790, 7902/5400

1. What is the HCF of 9220,7902?

The HCF of 9220,7902 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 9220/790, 7902/5400?

Answer: GCF of Numerators as per given numbers 9220/790, 7902/5400 is

GCF of Numerators i.e. for 9220,7902 is 2

LCM of denominators i.e. for 790,5400 is 426600.

Thus, GCF of Fractions is 2/426600.Finally, GCF of Fractions for 9220/790, 7902/5400 is 2/426600.