How to Find GCF of 440/748, 592/785?

GCF of 440/748, 592/785

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 440/748, 592/785 i.e 8/587180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/748, 592/785.

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 440/748,592/785?

Given fractions are 440/748,592/785

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 440/748,592/785, numerators are 440,592

Denominators are 748,785

The GCF of 440,592 is 8 .

LCM of 748,785 is 587180.

The greatest common factor of 440/748,592/785 = [GCF of 440,592]/[LCM of 748,785]= 8/587180

Therefore, the GCF of 440/748,592/785 is 8/587180.

Greatest Common Factor of 440,592

To find the highest common factor of 440,592, 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 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

The HCF of 440,592 is 8.

Lets's calculate GCF of 440,592

Greatest Common Factor (GCF) of 440,592 By Common Division

2	440, 592
2	220, 296
2	110, 148
	55, 74

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 440,592 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 592

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 440,592 . The biggest common factor number is the GCF number.
So the greatest common factor 440,592 is 8.

Lets's calculate LCM of 748,785

Lowest Common Multiple of 748,785 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 587180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/587180

Therefore, the GCF of Fractions 440/748,592/785 is 8/587180

Least Common Multiple of 748,785 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 748,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,785) = 1

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

GCF(748,785) x common factors =1 x 1 = 1

LCM(748,785) = ( 748 × 785 ) / 1

LCM(748,785) = 587180 / 1

LCM(748,785) = 587180

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FAQs on GCF of Fractions of 440/748, 592/785

1. What is the HCF of 440,592?

The HCF of 440,592 is 8

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 440/748, 592/785?

Answer: GCF of Numerators as per given numbers 440/748, 592/785 is

GCF of Numerators i.e. for 440,592 is 8

LCM of denominators i.e. for 748,785 is 587180.

Thus, GCF of Fractions is 8/587180.Finally, GCF of Fractions for 440/748, 592/785 is 8/587180.