How to Find GCF of 440/752, 946/148?

GCF of 440/752, 946/148

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 440/752, 946/148 i.e 22/27824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/752, 946/148.

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 440/752,946/148?

Given fractions are 440/752,946/148

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 440/752,946/148, numerators are 440,946

Denominators are 752,148

The GCF of 440,946 is 22 .

LCM of 752,148 is 27824.

The greatest common factor of 440/752,946/148 = [GCF of 440,946]/[LCM of 752,148]= 22/27824

Therefore, the GCF of 440/752,946/148 is 22/27824.

Greatest Common Factor of 440,946

To find the highest common factor of 440,946, we have to find the factors of both numbers and list the highest common factor.

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

The factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946

The HCF of 440,946 is 22.

Lets's calculate GCF of 440,946

Greatest Common Factor (GCF) of 440,946 By Common Division

2	440, 946
11	220, 473
	20, 43

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

Greatest Common Factor of 440,946 By Matching Biggest Common Factor Method

Now, list down the factors of 440

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Now, list down the factors of 946

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 440,946 . The biggest common factor number is the GCF number.
So the greatest common factor 440,946 is 22.

Lets's calculate LCM of 752,148

Lowest Common Multiple of 752,148 using Common Division

2	752, 148
2	376, 74
	188, 37

∴ So the LCM of the given numbers is 2 x 2 x 188 x 37 = 27824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/27824

Therefore, the GCF of Fractions 440/752,946/148 is 22/27824

Least Common Multiple of 752,148 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 752,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,148) = 4

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

GCF(752,148) x common factors =4 x 1 = 4

LCM(752,148) = ( 752 × 148 ) / 4

LCM(752,148) = 111296 / 4

LCM(752,148) = 27824

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 440/752, 946/148

1. What is the HCF of 440,946?

The HCF of 440,946 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 440/752, 946/148?

Answer: GCF of Numerators as per given numbers 440/752, 946/148 is

GCF of Numerators i.e. for 440,946 is 22

LCM of denominators i.e. for 752,148 is 27824.

Thus, GCF of Fractions is 22/27824.Finally, GCF of Fractions for 440/752, 946/148 is 22/27824.