Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7861/266,7462/310
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 7861,7462
Greatest Common Factor of Numerators i.e. GCF of 7861,7462 is 7 .
LCM of Denominators means LCM of 266,310 as per the given fractions.
LCM of 266,310 is 41230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7861,7462
7 | 7861, 7462 |
1123, 1066 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 7861
List of positive integer factors of 7861 that divides 7861 without a remainder.
1,7,1123,7861
Factors of 7462
List of positive integer factors of 7462 that divides 7462 without a remainder.
1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462
Greatest Common Factor
We found the factors 7861,7462 . The biggest common factor number is the GCF number.
So the greatest common factor 7861,7462 is 7.
Lets's calculate LCM of 266,310
2 | 266, 310 |
133, 155 |
∴ So the LCM of the given numbers is 2 x 133 x 155 = 41230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/41230
Therefore, the GCF of Fractions 7861/266,7462/310 is 7/41230
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 266,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(266,310) x common factors =2 x 1 = 2
LCM(266,310) = ( 266 × 310 ) / 2
LCM(266,310) = 82460 / 2
LCM(266,310) = 41230
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 7861/266, 7462/310?
Answer: GCF of Numerators as per given numbers 7861/266, 7462/310 is
GCF of Numerators i.e. for 7861,7462 is 7
LCM of denominators i.e. for 266,310 is 41230.
Thus, GCF of Fractions is 7/41230.Finally, GCF of Fractions for 7861/266, 7462/310 is 7/41230.