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GCF of 30/223, 9627/7528

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 30/223, 9627/7528 i.e 3/1678744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/223, 9627/7528.

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 30/223,9627/7528?

Given fractions are 30/223,9627/7528

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 30/223,9627/7528, numerators are 30,9627

Denominators are 223,7528

The GCF of 30,9627 is 3 .

LCM of 223,7528 is 1678744.

The greatest common factor of 30/223,9627/7528 = [GCF of 30,9627]/[LCM of 223,7528]= 3/1678744

Therefore, the GCF of 30/223,9627/7528 is 3/1678744.

Greatest Common Factor of 30,9627

To find the highest common factor of 30,9627, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 9627 are 1, 3, 3209, 9627

The HCF of 30,9627 is 3.

Lets's calculate GCF of 30,9627

Greatest Common Factor (GCF) of 30,9627 By Common Division

3 30, 9627
10, 3209

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 30,9627 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,9627 By Matching Biggest Common Factor Method

Now, list down the factors of 30

:

1,2,3,5,6,10,15,30

Now, list down the factors of 9627

:

1,3,3209,9627

Greatest Common Factor

We found the factors 30,9627 . The biggest common factor number is the GCF number.
So the greatest common factor 30,9627 is 3.

Lets's calculate LCM of 223,7528

Lowest Common Multiple of 223,7528 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1678744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1678744

Therefore, the GCF of Fractions 30/223,9627/7528 is 3/1678744

Least Common Multiple of 223,7528 with GCF Formula

Least Common Multiple of 223,7528 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 223,7528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,7528) = 1

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

GCF(223,7528) x common factors =1 x 1 = 1

LCM(223,7528) = ( 223 × 7528 ) / 1

LCM(223,7528) = 1678744 / 1

LCM(223,7528) = 1678744


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FAQs on GCF of Fractions of 30/223, 9627/7528

1. What is the HCF of 30,9627?

The HCF of 30,9627 is 3

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 30/223, 9627/7528?

Answer: GCF of Numerators as per given numbers 30/223, 9627/7528 is

GCF of Numerators i.e. for 30,9627 is 3

LCM of denominators i.e. for 223,7528 is 1678744.

Thus, GCF of Fractions is 3/1678744.Finally, GCF of Fractions for 30/223, 9627/7528 is 3/1678744.