GCF of 4519/716, 2534/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4519/716, 2534/705 i.e 1/504780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4519/716, 2534/705.
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 4519/716,2534/705?
Given fractions are 4519/716,2534/705
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 4519/716,2534/705, numerators are 4519,2534
Denominators are 716,705
The GCF of 4519,2534 is 1 .
LCM of 716,705 is 504780.
The greatest common factor of 4519/716,2534/705 = [GCF of 4519,2534]/[LCM of 716,705]= 1/504780
Therefore, the GCF of 4519/716,2534/705 is 1/504780.
To find the highest common factor of 4519,2534, we have to find the factors of both numbers and list the highest common factor.
The factors of 4519 are 1, 4519
The factors of 2534 are 1, 2, 7, 14, 181, 362, 1267, 2534
The HCF of 4519,2534 is 1.
Lets's calculate GCF of 4519,2534
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4519,2534 By Matching Biggest Common Factor Method
Now, list down the factors of 4519
:1,4519
Now, list down the factors of 2534
:1,2,7,14,181,362,1267,2534
Greatest Common Factor
We found the factors 4519,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 4519,2534 is 1.
Lets's calculate LCM of 716,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 504780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504780
Therefore, the GCF of Fractions 4519/716,2534/705 is 1/504780
Least Common Multiple of 716,705 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 716,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(716,705) x common factors =1 x 1 = 1
LCM(716,705) = ( 716 × 705 ) / 1
LCM(716,705) = 504780 / 1
LCM(716,705) = 504780
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FAQs on GCF of Fractions of 4519/716, 2534/705
1. What is the HCF of 4519,2534?
The HCF of 4519,2534 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 4519/716, 2534/705?
Answer: GCF of Numerators as per given numbers 4519/716, 2534/705 is
GCF of Numerators i.e. for 4519,2534 is 1
LCM of denominators i.e. for 716,705 is 504780.
Thus, GCF of Fractions is 1/504780.Finally, GCF of Fractions for 4519/716, 2534/705 is 1/504780.