How to Find GCF of 720/40, 988/7926?

GCF of 720/40, 988/7926

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 720/40, 988/7926 i.e 4/158520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/40, 988/7926.

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 720/40,988/7926?

Given fractions are 720/40,988/7926

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 720/40,988/7926, numerators are 720,988

Denominators are 40,7926

The GCF of 720,988 is 4 .

LCM of 40,7926 is 158520.

The greatest common factor of 720/40,988/7926 = [GCF of 720,988]/[LCM of 40,7926]= 4/158520

Therefore, the GCF of 720/40,988/7926 is 4/158520.

Greatest Common Factor of 720,988

To find the highest common factor of 720,988, we have to find the factors of both numbers and list the highest common factor.

The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

The HCF of 720,988 is 4.

Lets's calculate GCF of 720,988

Greatest Common Factor (GCF) of 720,988 By Common Division

2	720, 988
2	360, 494
	180, 247

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

Greatest Common Factor of 720,988 By Matching Biggest Common Factor Method

Now, list down the factors of 720

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Now, list down the factors of 988

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 720,988 . The biggest common factor number is the GCF number.
So the greatest common factor 720,988 is 4.

Lets's calculate LCM of 40,7926

Lowest Common Multiple of 40,7926 using Common Division

2	40, 7926
	20, 3963

∴ So the LCM of the given numbers is 2 x 20 x 3963 = 158520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/158520

Therefore, the GCF of Fractions 720/40,988/7926 is 4/158520

Least Common Multiple of 40,7926 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 40,7926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,7926) = 2

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

GCF(40,7926) x common factors =2 x 1 = 2

LCM(40,7926) = ( 40 × 7926 ) / 2

LCM(40,7926) = 317040 / 2

LCM(40,7926) = 158520

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FAQs on GCF of Fractions of 720/40, 988/7926

1. What is the HCF of 720,988?

The HCF of 720,988 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 720/40, 988/7926?

Answer: GCF of Numerators as per given numbers 720/40, 988/7926 is

GCF of Numerators i.e. for 720,988 is 4

LCM of denominators i.e. for 40,7926 is 158520.

Thus, GCF of Fractions is 4/158520.Finally, GCF of Fractions for 720/40, 988/7926 is 4/158520.