How to Find GCF of 472/49, 708/783?

GCF of 472/49, 708/783

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 472/49, 708/783 i.e 236/38367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 472/49, 708/783.

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 472/49,708/783?

Given fractions are 472/49,708/783

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 472/49,708/783, numerators are 472,708

Denominators are 49,783

The GCF of 472,708 is 236 .

LCM of 49,783 is 38367.

The greatest common factor of 472/49,708/783 = [GCF of 472,708]/[LCM of 49,783]= 236/38367

Therefore, the GCF of 472/49,708/783 is 236/38367.

Greatest Common Factor of 472,708

To find the highest common factor of 472,708, we have to find the factors of both numbers and list the highest common factor.

The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472

The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

The HCF of 472,708 is 236.

Lets's calculate GCF of 472,708

Greatest Common Factor (GCF) of 472,708 By Common Division

2	472, 708
2	236, 354
59	118, 177
	2, 3

∴ So the GCF of the given numbers is 2 x 2 x 59 = 236

Greatest Common Factor of 472,708 By Matching Biggest Common Factor Method

Now, list down the factors of 472

1,2,4,8,59,118,236,472

Now, list down the factors of 708

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 472,708 . The biggest common factor number is the GCF number.
So the greatest common factor 472,708 is 236.

Lets's calculate LCM of 49,783

Lowest Common Multiple of 49,783 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38367

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 236/38367

Therefore, the GCF of Fractions 472/49,708/783 is 236/38367

Least Common Multiple of 49,783 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 49,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,783) = 1

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

GCF(49,783) x common factors =1 x 1 = 1

LCM(49,783) = ( 49 × 783 ) / 1

LCM(49,783) = 38367 / 1

LCM(49,783) = 38367

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FAQs on GCF of Fractions of 472/49, 708/783

1. What is the HCF of 472,708?

The HCF of 472,708 is 236

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 472/49, 708/783?

Answer: GCF of Numerators as per given numbers 472/49, 708/783 is

GCF of Numerators i.e. for 472,708 is 236

LCM of denominators i.e. for 49,783 is 38367.

Thus, GCF of Fractions is 236/38367.Finally, GCF of Fractions for 472/49, 708/783 is 236/38367.