GCF of 724/310, 6399/211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 724/310, 6399/211 i.e 1/65410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/310, 6399/211.
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 724/310,6399/211?
Given fractions are 724/310,6399/211
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 724/310,6399/211, numerators are 724,6399
Denominators are 310,211
The GCF of 724,6399 is 1 .
LCM of 310,211 is 65410.
The greatest common factor of 724/310,6399/211 = [GCF of 724,6399]/[LCM of 310,211]= 1/65410
Therefore, the GCF of 724/310,6399/211 is 1/65410.
To find the highest common factor of 724,6399, we have to find the factors of both numbers and list the highest common factor.
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 6399 are 1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399
The HCF of 724,6399 is 1.
Lets's calculate GCF of 724,6399
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 724,6399 By Matching Biggest Common Factor Method
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 6399
:1,3,9,27,79,81,237,711,2133,6399
Greatest Common Factor
We found the factors 724,6399 . The biggest common factor number is the GCF number.
So the greatest common factor 724,6399 is 1.
Lets's calculate LCM of 310,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 65410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65410
Therefore, the GCF of Fractions 724/310,6399/211 is 1/65410
Least Common Multiple of 310,211 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 310,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(310,211) x common factors =1 x 1 = 1
LCM(310,211) = ( 310 × 211 ) / 1
LCM(310,211) = 65410 / 1
LCM(310,211) = 65410
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FAQs on GCF of Fractions of 724/310, 6399/211
1. What is the HCF of 724,6399?
The HCF of 724,6399 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 724/310, 6399/211?
Answer: GCF of Numerators as per given numbers 724/310, 6399/211 is
GCF of Numerators i.e. for 724,6399 is 1
LCM of denominators i.e. for 310,211 is 65410.
Thus, GCF of Fractions is 1/65410.Finally, GCF of Fractions for 724/310, 6399/211 is 1/65410.