GCF of 5317/797, 1947/6708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5317/797, 1947/6708 i.e 1/5346276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5317/797, 1947/6708.
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 5317/797,1947/6708?
Given fractions are 5317/797,1947/6708
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 5317/797,1947/6708, numerators are 5317,1947
Denominators are 797,6708
The GCF of 5317,1947 is 1 .
LCM of 797,6708 is 5346276.
The greatest common factor of 5317/797,1947/6708 = [GCF of 5317,1947]/[LCM of 797,6708]= 1/5346276
Therefore, the GCF of 5317/797,1947/6708 is 1/5346276.
To find the highest common factor of 5317,1947, we have to find the factors of both numbers and list the highest common factor.
The factors of 5317 are 1, 13, 409, 5317
The factors of 1947 are 1, 3, 11, 33, 59, 177, 649, 1947
The HCF of 5317,1947 is 1.
Lets's calculate GCF of 5317,1947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5317,1947 By Matching Biggest Common Factor Method
Now, list down the factors of 5317
:1,13,409,5317
Now, list down the factors of 1947
:1,3,11,33,59,177,649,1947
Greatest Common Factor
We found the factors 5317,1947 . The biggest common factor number is the GCF number.
So the greatest common factor 5317,1947 is 1.
Lets's calculate LCM of 797,6708
Given numbers has no common factors except 1. So, there LCM is their product i.e 5346276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5346276
Therefore, the GCF of Fractions 5317/797,1947/6708 is 1/5346276
Least Common Multiple of 797,6708 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 797,6708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,6708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,6708) x common factors =1 x 1 = 1
LCM(797,6708) = ( 797 × 6708 ) / 1
LCM(797,6708) = 5346276 / 1
LCM(797,6708) = 5346276
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FAQs on GCF of Fractions of 5317/797, 1947/6708
1. What is the HCF of 5317,1947?
The HCF of 5317,1947 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 5317/797, 1947/6708?
Answer: GCF of Numerators as per given numbers 5317/797, 1947/6708 is
GCF of Numerators i.e. for 5317,1947 is 1
LCM of denominators i.e. for 797,6708 is 5346276.
Thus, GCF of Fractions is 1/5346276.Finally, GCF of Fractions for 5317/797, 1947/6708 is 1/5346276.