GCF of 751/202, 9617/3412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 751/202, 9617/3412 i.e 1/344612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 751/202, 9617/3412.
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 751/202,9617/3412?
Given fractions are 751/202,9617/3412
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 751/202,9617/3412, numerators are 751,9617
Denominators are 202,3412
The GCF of 751,9617 is 1 .
LCM of 202,3412 is 344612.
The greatest common factor of 751/202,9617/3412 = [GCF of 751,9617]/[LCM of 202,3412]= 1/344612
Therefore, the GCF of 751/202,9617/3412 is 1/344612.
To find the highest common factor of 751,9617, we have to find the factors of both numbers and list the highest common factor.
The factors of 751 are 1, 751
The factors of 9617 are 1, 59, 163, 9617
The HCF of 751,9617 is 1.
Lets's calculate GCF of 751,9617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 751,9617 By Matching Biggest Common Factor Method
Now, list down the factors of 751
:1,751
Now, list down the factors of 9617
:1,59,163,9617
Greatest Common Factor
We found the factors 751,9617 . The biggest common factor number is the GCF number.
So the greatest common factor 751,9617 is 1.
Lets's calculate LCM of 202,3412
| 2 | 202, 3412 |
| 101, 1706 |
∴ So the LCM of the given numbers is 2 x 101 x 1706 = 344612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344612
Therefore, the GCF of Fractions 751/202,9617/3412 is 1/344612
Least Common Multiple of 202,3412 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 202,3412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,3412) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,3412) x common factors =2 x 1 = 2
LCM(202,3412) = ( 202 × 3412 ) / 2
LCM(202,3412) = 689224 / 2
LCM(202,3412) = 344612
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 751/202, 9617/3412
1. What is the HCF of 751,9617?
The HCF of 751,9617 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 751/202, 9617/3412?
Answer: GCF of Numerators as per given numbers 751/202, 9617/3412 is
GCF of Numerators i.e. for 751,9617 is 1
LCM of denominators i.e. for 202,3412 is 344612.
Thus, GCF of Fractions is 1/344612.Finally, GCF of Fractions for 751/202, 9617/3412 is 1/344612.