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GCF of 4711/236, 8996/5708

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 4711/236, 8996/5708 i.e 1/336772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4711/236, 8996/5708.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4711/236,8996/5708?

Given fractions are 4711/236,8996/5708

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 4711/236,8996/5708, numerators are 4711,8996

Denominators are 236,5708

The GCF of 4711,8996 is 1 .

LCM of 236,5708 is 336772.

The greatest common factor of 4711/236,8996/5708 = [GCF of 4711,8996]/[LCM of 236,5708]= 1/336772

Therefore, the GCF of 4711/236,8996/5708 is 1/336772.

Greatest Common Factor of 4711,8996

To find the highest common factor of 4711,8996, we have to find the factors of both numbers and list the highest common factor.

The factors of 4711 are 1, 7, 673, 4711

The factors of 8996 are 1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996

The HCF of 4711,8996 is 1.

Lets's calculate GCF of 4711,8996

Greatest Common Factor (GCF) of 4711,8996 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4711,8996 By Matching Biggest Common Factor Method

Greatest Common Factor of 4711,8996 By Matching Biggest Common Factor Method

Now, list down the factors of 4711

:

1,7,673,4711

Now, list down the factors of 8996

:

1,2,4,13,26,52,173,346,692,2249,4498,8996

Greatest Common Factor

We found the factors 4711,8996 . The biggest common factor number is the GCF number.
So the greatest common factor 4711,8996 is 1.


Lets's calculate LCM of 236,5708

Lowest Common Multiple of 236,5708 using Common Division

2 236, 5708
2 118, 2854
59, 1427

∴ So the LCM of the given numbers is 2 x 2 x 59 x 1427 = 336772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336772

Therefore, the GCF of Fractions 4711/236,8996/5708 is 1/336772

Least Common Multiple of 236,5708 with GCF Formula

Least Common Multiple of 236,5708 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 236,5708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,5708) = 4

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

GCF(236,5708) x common factors =4 x 1 = 4

LCM(236,5708) = ( 236 × 5708 ) / 4

LCM(236,5708) = 1347088 / 4

LCM(236,5708) = 336772


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4711/236, 8996/5708

1. What is the HCF of 4711,8996?

The HCF of 4711,8996 is 1

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 4711/236, 8996/5708?

Answer: GCF of Numerators as per given numbers 4711/236, 8996/5708 is

GCF of Numerators i.e. for 4711,8996 is 1

LCM of denominators i.e. for 236,5708 is 336772.

Thus, GCF of Fractions is 1/336772.Finally, GCF of Fractions for 4711/236, 8996/5708 is 1/336772.