GCF of 869/625, 2247/8454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 869/625, 2247/8454 i.e 1/5283750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 869/625, 2247/8454.
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 869/625,2247/8454?
Given fractions are 869/625,2247/8454
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 869/625,2247/8454, numerators are 869,2247
Denominators are 625,8454
The GCF of 869,2247 is 1 .
LCM of 625,8454 is 5283750.
The greatest common factor of 869/625,2247/8454 = [GCF of 869,2247]/[LCM of 625,8454]= 1/5283750
Therefore, the GCF of 869/625,2247/8454 is 1/5283750.
To find the highest common factor of 869,2247, we have to find the factors of both numbers and list the highest common factor.
The factors of 869 are 1, 11, 79, 869
The factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247
The HCF of 869,2247 is 1.
Lets's calculate GCF of 869,2247
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 869,2247 By Matching Biggest Common Factor Method
Now, list down the factors of 869
:1,11,79,869
Now, list down the factors of 2247
:1,3,7,21,107,321,749,2247
Greatest Common Factor
We found the factors 869,2247 . The biggest common factor number is the GCF number.
So the greatest common factor 869,2247 is 1.
Lets's calculate LCM of 625,8454
Given numbers has no common factors except 1. So, there LCM is their product i.e 5283750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5283750
Therefore, the GCF of Fractions 869/625,2247/8454 is 1/5283750
Least Common Multiple of 625,8454 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 625,8454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,8454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,8454) x common factors =1 x 1 = 1
LCM(625,8454) = ( 625 × 8454 ) / 1
LCM(625,8454) = 5283750 / 1
LCM(625,8454) = 5283750
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 869/625, 2247/8454
1. What is the HCF of 869,2247?
The HCF of 869,2247 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 869/625, 2247/8454?
Answer: GCF of Numerators as per given numbers 869/625, 2247/8454 is
GCF of Numerators i.e. for 869,2247 is 1
LCM of denominators i.e. for 625,8454 is 5283750.
Thus, GCF of Fractions is 1/5283750.Finally, GCF of Fractions for 869/625, 2247/8454 is 1/5283750.