How to Find GCF of 948/221, 9104/533?

GCF of 948/221, 9104/533

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 948/221, 9104/533 i.e 4/9061 easily. The following is the detailed procedure to determine the greatest common factor of fractions 948/221, 9104/533.

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 948/221,9104/533?

Given fractions are 948/221,9104/533

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 948/221,9104/533, numerators are 948,9104

Denominators are 221,533

The GCF of 948,9104 is 4 .

LCM of 221,533 is 9061.

The greatest common factor of 948/221,9104/533 = [GCF of 948,9104]/[LCM of 221,533]= 4/9061

Therefore, the GCF of 948/221,9104/533 is 4/9061.

Greatest Common Factor of 948,9104

To find the highest common factor of 948,9104, we have to find the factors of both numbers and list the highest common factor.

The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

The factors of 9104 are 1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104

The HCF of 948,9104 is 4.

Lets's calculate GCF of 948,9104

Greatest Common Factor (GCF) of 948,9104 By Common Division

2	948, 9104
2	474, 4552
	237, 2276

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 948,9104 By Matching Biggest Common Factor Method

Now, list down the factors of 948

1,2,3,4,6,12,79,158,237,316,474,948

Now, list down the factors of 9104

1,2,4,8,16,569,1138,2276,4552,9104

Greatest Common Factor

We found the factors 948,9104 . The biggest common factor number is the GCF number.
So the greatest common factor 948,9104 is 4.

Lets's calculate LCM of 221,533

Lowest Common Multiple of 221,533 using Common Division

13	221, 533
	17, 41

∴ So the LCM of the given numbers is 13 x 17 x 41 = 9061

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9061

Therefore, the GCF of Fractions 948/221,9104/533 is 4/9061

Least Common Multiple of 221,533 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 221,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,533) = 13

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

GCF(221,533) x common factors =13 x 1 = 13

LCM(221,533) = ( 221 × 533 ) / 13

LCM(221,533) = 117793 / 13

LCM(221,533) = 9061

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FAQs on GCF of Fractions of 948/221, 9104/533

1. What is the HCF of 948,9104?

The HCF of 948,9104 is 4

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 948/221, 9104/533?

Answer: GCF of Numerators as per given numbers 948/221, 9104/533 is

GCF of Numerators i.e. for 948,9104 is 4

LCM of denominators i.e. for 221,533 is 9061.

Thus, GCF of Fractions is 4/9061.Finally, GCF of Fractions for 948/221, 9104/533 is 4/9061.