GCF of 8783/946, 5617/3957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8783/946, 5617/3957 i.e 1/3743322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8783/946, 5617/3957.
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 8783/946,5617/3957?
Given fractions are 8783/946,5617/3957
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 8783/946,5617/3957, numerators are 8783,5617
Denominators are 946,3957
The GCF of 8783,5617 is 1 .
LCM of 946,3957 is 3743322.
The greatest common factor of 8783/946,5617/3957 = [GCF of 8783,5617]/[LCM of 946,3957]= 1/3743322
Therefore, the GCF of 8783/946,5617/3957 is 1/3743322.
To find the highest common factor of 8783,5617, we have to find the factors of both numbers and list the highest common factor.
The factors of 8783 are 1, 8783
The factors of 5617 are 1, 41, 137, 5617
The HCF of 8783,5617 is 1.
Lets's calculate GCF of 8783,5617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8783,5617 By Matching Biggest Common Factor Method
Now, list down the factors of 8783
:1,8783
Now, list down the factors of 5617
:1,41,137,5617
Greatest Common Factor
We found the factors 8783,5617 . The biggest common factor number is the GCF number.
So the greatest common factor 8783,5617 is 1.
Lets's calculate LCM of 946,3957
Given numbers has no common factors except 1. So, there LCM is their product i.e 3743322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3743322
Therefore, the GCF of Fractions 8783/946,5617/3957 is 1/3743322
Least Common Multiple of 946,3957 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 946,3957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,3957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(946,3957) x common factors =1 x 1 = 1
LCM(946,3957) = ( 946 × 3957 ) / 1
LCM(946,3957) = 3743322 / 1
LCM(946,3957) = 3743322
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8783/946, 5617/3957
1. What is the HCF of 8783,5617?
The HCF of 8783,5617 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 8783/946, 5617/3957?
Answer: GCF of Numerators as per given numbers 8783/946, 5617/3957 is
GCF of Numerators i.e. for 8783,5617 is 1
LCM of denominators i.e. for 946,3957 is 3743322.
Thus, GCF of Fractions is 1/3743322.Finally, GCF of Fractions for 8783/946, 5617/3957 is 1/3743322.