Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6509/710,6514/1534
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 6509,6514
Greatest Common Factor of Numerators i.e. GCF of 6509,6514 is 1 .
LCM of Denominators means LCM of 710,1534 as per the given fractions.
LCM of 710,1534 is 544570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6509,6514
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6509
List of positive integer factors of 6509 that divides 6509 without a remainder.
1,23,283,6509
Factors of 6514
List of positive integer factors of 6514 that divides 6514 without a remainder.
1,2,3257,6514
Greatest Common Factor
We found the factors 6509,6514 . The biggest common factor number is the GCF number.
So the greatest common factor 6509,6514 is 1.
Lets's calculate LCM of 710,1534
2 | 710, 1534 |
355, 767 |
∴ So the LCM of the given numbers is 2 x 355 x 767 = 544570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/544570
Therefore, the GCF of Fractions 6509/710,6514/1534 is 1/544570
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 710,1534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,1534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,1534) x common factors =2 x 1 = 2
LCM(710,1534) = ( 710 × 1534 ) / 2
LCM(710,1534) = 1089140 / 2
LCM(710,1534) = 544570
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 6509/710, 6514/1534?
Answer: GCF of Numerators as per given numbers 6509/710, 6514/1534 is
GCF of Numerators i.e. for 6509,6514 is 1
LCM of denominators i.e. for 710,1534 is 544570.
Thus, GCF of Fractions is 1/544570.Finally, GCF of Fractions for 6509/710, 6514/1534 is 1/544570.