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GCF of 710/22, 211/800

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 710/22, 211/800 i.e 1/8800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/22, 211/800.

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 710/22,211/800?

Given fractions are 710/22,211/800

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 710/22,211/800, numerators are 710,211

Denominators are 22,800

The GCF of 710,211 is 1 .

LCM of 22,800 is 8800.

The greatest common factor of 710/22,211/800 = [GCF of 710,211]/[LCM of 22,800]= 1/8800

Therefore, the GCF of 710/22,211/800 is 1/8800.

Greatest Common Factor of 710,211

To find the highest common factor of 710,211, we have to find the factors of both numbers and list the highest common factor.

The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710

The factors of 211 are 1, 211

The HCF of 710,211 is 1.

Lets's calculate GCF of 710,211

Greatest Common Factor (GCF) of 710,211 By Common Division

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

Greatest Common Factor of 710,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,211 By Matching Biggest Common Factor Method

Now, list down the factors of 710

:

1,2,5,10,71,142,355,710

Now, list down the factors of 211

:

1,211

Greatest Common Factor

We found the factors 710,211 . The biggest common factor number is the GCF number.
So the greatest common factor 710,211 is 1.

Lets's calculate LCM of 22,800

Lowest Common Multiple of 22,800 using Common Division

2 22, 800
11, 400

∴ So the LCM of the given numbers is 2 x 11 x 400 = 8800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8800

Therefore, the GCF of Fractions 710/22,211/800 is 1/8800

Least Common Multiple of 22,800 with GCF Formula

Least Common Multiple of 22,800 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 22,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,800) = 2

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

GCF(22,800) x common factors =2 x 1 = 2

LCM(22,800) = ( 22 × 800 ) / 2

LCM(22,800) = 17600 / 2

LCM(22,800) = 8800


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FAQs on GCF of Fractions of 710/22, 211/800

1. What is the HCF of 710,211?

The HCF of 710,211 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 710/22, 211/800?

Answer: GCF of Numerators as per given numbers 710/22, 211/800 is

GCF of Numerators i.e. for 710,211 is 1

LCM of denominators i.e. for 22,800 is 8800.

Thus, GCF of Fractions is 1/8800.Finally, GCF of Fractions for 710/22, 211/800 is 1/8800.