GCF of 863/45, 714/6455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 863/45, 714/6455 i.e 1/58095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 863/45, 714/6455.
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 863/45,714/6455?
Given fractions are 863/45,714/6455
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 863/45,714/6455, numerators are 863,714
Denominators are 45,6455
The GCF of 863,714 is 1 .
LCM of 45,6455 is 58095.
The greatest common factor of 863/45,714/6455 = [GCF of 863,714]/[LCM of 45,6455]= 1/58095
Therefore, the GCF of 863/45,714/6455 is 1/58095.
To find the highest common factor of 863,714, we have to find the factors of both numbers and list the highest common factor.
The factors of 863 are 1, 863
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The HCF of 863,714 is 1.
Lets's calculate GCF of 863,714
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 863,714 By Matching Biggest Common Factor Method
Now, list down the factors of 863
:1,863
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 863,714 . The biggest common factor number is the GCF number.
So the greatest common factor 863,714 is 1.
Lets's calculate LCM of 45,6455
| 5 | 45, 6455 |
| 9, 1291 |
∴ So the LCM of the given numbers is 5 x 9 x 1291 = 58095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58095
Therefore, the GCF of Fractions 863/45,714/6455 is 1/58095
Least Common Multiple of 45,6455 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 45,6455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,6455) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(45,6455) x common factors =5 x 1 = 5
LCM(45,6455) = ( 45 × 6455 ) / 5
LCM(45,6455) = 290475 / 5
LCM(45,6455) = 58095
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FAQs on GCF of Fractions of 863/45, 714/6455
1. What is the HCF of 863,714?
The HCF of 863,714 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 863/45, 714/6455?
Answer: GCF of Numerators as per given numbers 863/45, 714/6455 is
GCF of Numerators i.e. for 863,714 is 1
LCM of denominators i.e. for 45,6455 is 58095.
Thus, GCF of Fractions is 1/58095.Finally, GCF of Fractions for 863/45, 714/6455 is 1/58095.