GCF of 4117/768, 9557/7665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4117/768, 9557/7665 i.e 1/1962240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4117/768, 9557/7665.
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 4117/768,9557/7665?
Given fractions are 4117/768,9557/7665
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 4117/768,9557/7665, numerators are 4117,9557
Denominators are 768,7665
The GCF of 4117,9557 is 1 .
LCM of 768,7665 is 1962240.
The greatest common factor of 4117/768,9557/7665 = [GCF of 4117,9557]/[LCM of 768,7665]= 1/1962240
Therefore, the GCF of 4117/768,9557/7665 is 1/1962240.
To find the highest common factor of 4117,9557, we have to find the factors of both numbers and list the highest common factor.
The factors of 4117 are 1, 23, 179, 4117
The factors of 9557 are 1, 19, 503, 9557
The HCF of 4117,9557 is 1.
Lets's calculate GCF of 4117,9557
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4117,9557 By Matching Biggest Common Factor Method
Now, list down the factors of 4117
:1,23,179,4117
Now, list down the factors of 9557
:1,19,503,9557
Greatest Common Factor
We found the factors 4117,9557 . The biggest common factor number is the GCF number.
So the greatest common factor 4117,9557 is 1.
Lets's calculate LCM of 768,7665
| 3 | 768, 7665 |
| 256, 2555 |
∴ So the LCM of the given numbers is 3 x 256 x 2555 = 1962240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1962240
Therefore, the GCF of Fractions 4117/768,9557/7665 is 1/1962240
Least Common Multiple of 768,7665 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 768,7665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,7665) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(768,7665) x common factors =3 x 1 = 3
LCM(768,7665) = ( 768 × 7665 ) / 3
LCM(768,7665) = 5886720 / 3
LCM(768,7665) = 1962240
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FAQs on GCF of Fractions of 4117/768, 9557/7665
1. What is the HCF of 4117,9557?
The HCF of 4117,9557 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 4117/768, 9557/7665?
Answer: GCF of Numerators as per given numbers 4117/768, 9557/7665 is
GCF of Numerators i.e. for 4117,9557 is 1
LCM of denominators i.e. for 768,7665 is 1962240.
Thus, GCF of Fractions is 1/1962240.Finally, GCF of Fractions for 4117/768, 9557/7665 is 1/1962240.