How to Find GCF of 924/342, 726/548?

GCF of 924/342, 726/548

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 924/342, 726/548 i.e 66/93708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/342, 726/548.

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 924/342,726/548?

Given fractions are 924/342,726/548

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 924/342,726/548, numerators are 924,726

Denominators are 342,548

The GCF of 924,726 is 66 .

LCM of 342,548 is 93708.

The greatest common factor of 924/342,726/548 = [GCF of 924,726]/[LCM of 342,548]= 66/93708

Therefore, the GCF of 924/342,726/548 is 66/93708.

Greatest Common Factor of 924,726

To find the highest common factor of 924,726, we have to find the factors of both numbers and list the highest common factor.

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 factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

The HCF of 924,726 is 66.

Lets's calculate GCF of 924,726

Greatest Common Factor (GCF) of 924,726 By Common Division

2	924, 726
3	462, 363
11	154, 121
	14, 11

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Greatest Common Factor of 924,726 By Matching Biggest Common Factor Method

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

Now, list down the factors of 726

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 924,726 . The biggest common factor number is the GCF number.
So the greatest common factor 924,726 is 66.

Lets's calculate LCM of 342,548

Lowest Common Multiple of 342,548 using Common Division

2	342, 548
	171, 274

∴ So the LCM of the given numbers is 2 x 171 x 274 = 93708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/93708

Therefore, the GCF of Fractions 924/342,726/548 is 66/93708

Least Common Multiple of 342,548 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 342,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,548) = 2

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

GCF(342,548) x common factors =2 x 1 = 2

LCM(342,548) = ( 342 × 548 ) / 2

LCM(342,548) = 187416 / 2

LCM(342,548) = 93708

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 924/342, 726/548

1. What is the HCF of 924,726?

The HCF of 924,726 is 66

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 924/342, 726/548?

Answer: GCF of Numerators as per given numbers 924/342, 726/548 is

GCF of Numerators i.e. for 924,726 is 66

LCM of denominators i.e. for 342,548 is 93708.

Thus, GCF of Fractions is 66/93708.Finally, GCF of Fractions for 924/342, 726/548 is 66/93708.