Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 960/702,710/118,529/851
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 960,710,529
Greatest Common Factor of Numerators i.e. GCF of 960,710,529 is 1 .
LCM of Denominators means LCM of 702,118,851 as per the given fractions.
LCM of 702,118,851 is 35246718 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 960,710,529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 960,710,529 . The biggest common factor number is the GCF number.
So the greatest common factor 960,710,529 is 1.
Lets's calculate LCM of 702,118,851
2 | 702, 118, 851 |
351, 59, 851 |
∴ So the LCM of the given numbers is 2 x 351 x 59 x 851 = 35246718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35246718
Therefore, the GCF of Fractions 960/702,710/118,529/851 is 1/35246718
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 702,118,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,118,851) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(702,118,851) x common factors =1 x 2 = 2
LCM(702,118,851) = ( 702 × 118 × 851 ) / 2
LCM(702,118,851) = 70493436 / 2
LCM(702,118,851) = 35246718
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 960/702, 710/118, 529/851?
Answer: GCF of Numerators as per given numbers 960/702, 710/118, 529/851 is
GCF of Numerators i.e. for 960,710,529 is 1
LCM of denominators i.e. for 702,118,851 is 35246718.
Thus, GCF of Fractions is 1/35246718.Finally, GCF of Fractions for 960/702, 710/118, 529/851 is 1/35246718.