How to Find GCF of 720/47, 308/5675?

GCF of 720/47, 308/5675

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 720/47, 308/5675 i.e 4/266725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/47, 308/5675.

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 720/47,308/5675?

Given fractions are 720/47,308/5675

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 720/47,308/5675, numerators are 720,308

Denominators are 47,5675

The GCF of 720,308 is 4 .

LCM of 47,5675 is 266725.

The greatest common factor of 720/47,308/5675 = [GCF of 720,308]/[LCM of 47,5675]= 4/266725

Therefore, the GCF of 720/47,308/5675 is 4/266725.

Greatest Common Factor of 720,308

To find the highest common factor of 720,308, 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 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The HCF of 720,308 is 4.

Lets's calculate GCF of 720,308

Greatest Common Factor (GCF) of 720,308 By Common Division

2	720, 308
2	360, 154
	180, 77

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

Greatest Common Factor of 720,308 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 308

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 720,308 . The biggest common factor number is the GCF number.
So the greatest common factor 720,308 is 4.

Lets's calculate LCM of 47,5675

Lowest Common Multiple of 47,5675 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 266725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/266725

Therefore, the GCF of Fractions 720/47,308/5675 is 4/266725

Least Common Multiple of 47,5675 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 47,5675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,5675) = 1

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

GCF(47,5675) x common factors =1 x 1 = 1

LCM(47,5675) = ( 47 × 5675 ) / 1

LCM(47,5675) = 266725 / 1

LCM(47,5675) = 266725

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FAQs on GCF of Fractions of 720/47, 308/5675

1. What is the HCF of 720,308?

The HCF of 720,308 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 720/47, 308/5675?

Answer: GCF of Numerators as per given numbers 720/47, 308/5675 is

GCF of Numerators i.e. for 720,308 is 4

LCM of denominators i.e. for 47,5675 is 266725.

Thus, GCF of Fractions is 4/266725.Finally, GCF of Fractions for 720/47, 308/5675 is 4/266725.