GCF of 5657/935, 9518/8785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5657/935, 9518/8785 i.e 1/1642795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5657/935, 9518/8785.
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 5657/935,9518/8785?
Given fractions are 5657/935,9518/8785
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 5657/935,9518/8785, numerators are 5657,9518
Denominators are 935,8785
The GCF of 5657,9518 is 1 .
LCM of 935,8785 is 1642795.
The greatest common factor of 5657/935,9518/8785 = [GCF of 5657,9518]/[LCM of 935,8785]= 1/1642795
Therefore, the GCF of 5657/935,9518/8785 is 1/1642795.
To find the highest common factor of 5657,9518, we have to find the factors of both numbers and list the highest common factor.
The factors of 5657 are 1, 5657
The factors of 9518 are 1, 2, 4759, 9518
The HCF of 5657,9518 is 1.
Lets's calculate GCF of 5657,9518
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5657,9518 By Matching Biggest Common Factor Method
Now, list down the factors of 5657
:1,5657
Now, list down the factors of 9518
:1,2,4759,9518
Greatest Common Factor
We found the factors 5657,9518 . The biggest common factor number is the GCF number.
So the greatest common factor 5657,9518 is 1.
Lets's calculate LCM of 935,8785
| 5 | 935, 8785 |
| 187, 1757 |
∴ So the LCM of the given numbers is 5 x 187 x 1757 = 1642795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1642795
Therefore, the GCF of Fractions 5657/935,9518/8785 is 1/1642795
Least Common Multiple of 935,8785 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 935,8785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,8785) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(935,8785) x common factors =5 x 1 = 5
LCM(935,8785) = ( 935 × 8785 ) / 5
LCM(935,8785) = 8213975 / 5
LCM(935,8785) = 1642795
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5657/935, 9518/8785
1. What is the HCF of 5657,9518?
The HCF of 5657,9518 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 5657/935, 9518/8785?
Answer: GCF of Numerators as per given numbers 5657/935, 9518/8785 is
GCF of Numerators i.e. for 5657,9518 is 1
LCM of denominators i.e. for 935,8785 is 1642795.
Thus, GCF of Fractions is 1/1642795.Finally, GCF of Fractions for 5657/935, 9518/8785 is 1/1642795.