GCF of 6451/421, 9607/516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6451/421, 9607/516 i.e 1/217236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6451/421, 9607/516.
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 6451/421,9607/516?
Given fractions are 6451/421,9607/516
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 6451/421,9607/516, numerators are 6451,9607
Denominators are 421,516
The GCF of 6451,9607 is 1 .
LCM of 421,516 is 217236.
The greatest common factor of 6451/421,9607/516 = [GCF of 6451,9607]/[LCM of 421,516]= 1/217236
Therefore, the GCF of 6451/421,9607/516 is 1/217236.
To find the highest common factor of 6451,9607, we have to find the factors of both numbers and list the highest common factor.
The factors of 6451 are 1, 6451
The factors of 9607 are 1, 13, 739, 9607
The HCF of 6451,9607 is 1.
Lets's calculate GCF of 6451,9607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6451,9607 By Matching Biggest Common Factor Method
Now, list down the factors of 6451
:1,6451
Now, list down the factors of 9607
:1,13,739,9607
Greatest Common Factor
We found the factors 6451,9607 . The biggest common factor number is the GCF number.
So the greatest common factor 6451,9607 is 1.
Lets's calculate LCM of 421,516
Given numbers has no common factors except 1. So, there LCM is their product i.e 217236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217236
Therefore, the GCF of Fractions 6451/421,9607/516 is 1/217236
Least Common Multiple of 421,516 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 421,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,516) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,516) x common factors =1 x 1 = 1
LCM(421,516) = ( 421 × 516 ) / 1
LCM(421,516) = 217236 / 1
LCM(421,516) = 217236
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FAQs on GCF of Fractions of 6451/421, 9607/516
1. What is the HCF of 6451,9607?
The HCF of 6451,9607 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 6451/421, 9607/516?
Answer: GCF of Numerators as per given numbers 6451/421, 9607/516 is
GCF of Numerators i.e. for 6451,9607 is 1
LCM of denominators i.e. for 421,516 is 217236.
Thus, GCF of Fractions is 1/217236.Finally, GCF of Fractions for 6451/421, 9607/516 is 1/217236.