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GCF of 22/502, 9028/3065

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 22/502, 9028/3065 i.e 2/1538630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/502, 9028/3065.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 22/502,9028/3065?

Given fractions are 22/502,9028/3065

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 22/502,9028/3065, numerators are 22,9028

Denominators are 502,3065

The GCF of 22,9028 is 2 .

LCM of 502,3065 is 1538630.

The greatest common factor of 22/502,9028/3065 = [GCF of 22,9028]/[LCM of 502,3065]= 2/1538630

Therefore, the GCF of 22/502,9028/3065 is 2/1538630.

Greatest Common Factor of 22,9028

To find the highest common factor of 22,9028, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 9028 are 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028

The HCF of 22,9028 is 2.

Lets's calculate GCF of 22,9028

Greatest Common Factor (GCF) of 22,9028 By Common Division

2 22, 9028
11, 4514

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

Greatest Common Factor of 22,9028 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,9028 By Matching Biggest Common Factor Method

Now, list down the factors of 22

:

1,2,11,22

Now, list down the factors of 9028

:

1,2,4,37,61,74,122,148,244,2257,4514,9028

Greatest Common Factor

We found the factors 22,9028 . The biggest common factor number is the GCF number.
So the greatest common factor 22,9028 is 2.

Lets's calculate LCM of 502,3065

Lowest Common Multiple of 502,3065 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1538630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1538630

Therefore, the GCF of Fractions 22/502,9028/3065 is 2/1538630

Least Common Multiple of 502,3065 with GCF Formula

Least Common Multiple of 502,3065 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 502,3065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,3065) = 1

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

GCF(502,3065) x common factors =1 x 1 = 1

LCM(502,3065) = ( 502 × 3065 ) / 1

LCM(502,3065) = 1538630 / 1

LCM(502,3065) = 1538630


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FAQs on GCF of Fractions of 22/502, 9028/3065

1. What is the HCF of 22,9028?

The HCF of 22,9028 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 22/502, 9028/3065?

Answer: GCF of Numerators as per given numbers 22/502, 9028/3065 is

GCF of Numerators i.e. for 22,9028 is 2

LCM of denominators i.e. for 502,3065 is 1538630.

Thus, GCF of Fractions is 2/1538630.Finally, GCF of Fractions for 22/502, 9028/3065 is 2/1538630.