How to Find GCF of 110/28, 924/275?

GCF of 110/28, 924/275

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 110/28, 924/275 i.e 22/7700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/28, 924/275.

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 110/28,924/275?

Given fractions are 110/28,924/275

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 110/28,924/275, numerators are 110,924

Denominators are 28,275

The GCF of 110,924 is 22 .

LCM of 28,275 is 7700.

The greatest common factor of 110/28,924/275 = [GCF of 110,924]/[LCM of 28,275]= 22/7700

Therefore, the GCF of 110/28,924/275 is 22/7700.

Greatest Common Factor of 110,924

To find the highest common factor of 110,924, we have to find the factors of both numbers and list the highest common factor.

The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110

The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

The HCF of 110,924 is 22.

Lets's calculate GCF of 110,924

Greatest Common Factor (GCF) of 110,924 By Common Division

2	110, 924
11	55, 462
	5, 42

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 110,924 By Matching Biggest Common Factor Method

Now, list down the factors of 110

1,2,5,10,11,22,55,110

Now, list down the factors of 924

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 110,924 . The biggest common factor number is the GCF number.
So the greatest common factor 110,924 is 22.

Lets's calculate LCM of 28,275

Lowest Common Multiple of 28,275 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/7700

Therefore, the GCF of Fractions 110/28,924/275 is 22/7700

Least Common Multiple of 28,275 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 28,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,275) = 1

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

GCF(28,275) x common factors =1 x 1 = 1

LCM(28,275) = ( 28 × 275 ) / 1

LCM(28,275) = 7700 / 1

LCM(28,275) = 7700

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FAQs on GCF of Fractions of 110/28, 924/275

1. What is the HCF of 110,924?

The HCF of 110,924 is 22

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 110/28, 924/275?

Answer: GCF of Numerators as per given numbers 110/28, 924/275 is

GCF of Numerators i.e. for 110,924 is 22

LCM of denominators i.e. for 28,275 is 7700.

Thus, GCF of Fractions is 22/7700.Finally, GCF of Fractions for 110/28, 924/275 is 22/7700.