GCF of 9187/567, 4318/7716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9187/567, 4318/7716 i.e 1/1458324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9187/567, 4318/7716.
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 9187/567,4318/7716?
Given fractions are 9187/567,4318/7716
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 9187/567,4318/7716, numerators are 9187,4318
Denominators are 567,7716
The GCF of 9187,4318 is 1 .
LCM of 567,7716 is 1458324.
The greatest common factor of 9187/567,4318/7716 = [GCF of 9187,4318]/[LCM of 567,7716]= 1/1458324
Therefore, the GCF of 9187/567,4318/7716 is 1/1458324.
To find the highest common factor of 9187,4318, we have to find the factors of both numbers and list the highest common factor.
The factors of 9187 are 1, 9187
The factors of 4318 are 1, 2, 17, 34, 127, 254, 2159, 4318
The HCF of 9187,4318 is 1.
Lets's calculate GCF of 9187,4318
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9187,4318 By Matching Biggest Common Factor Method
Now, list down the factors of 9187
:1,9187
Now, list down the factors of 4318
:1,2,17,34,127,254,2159,4318
Greatest Common Factor
We found the factors 9187,4318 . The biggest common factor number is the GCF number.
So the greatest common factor 9187,4318 is 1.
Lets's calculate LCM of 567,7716
| 3 | 567, 7716 |
| 189, 2572 |
∴ So the LCM of the given numbers is 3 x 189 x 2572 = 1458324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1458324
Therefore, the GCF of Fractions 9187/567,4318/7716 is 1/1458324
Least Common Multiple of 567,7716 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 567,7716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,7716) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(567,7716) x common factors =3 x 1 = 3
LCM(567,7716) = ( 567 × 7716 ) / 3
LCM(567,7716) = 4374972 / 3
LCM(567,7716) = 1458324
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FAQs on GCF of Fractions of 9187/567, 4318/7716
1. What is the HCF of 9187,4318?
The HCF of 9187,4318 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 9187/567, 4318/7716?
Answer: GCF of Numerators as per given numbers 9187/567, 4318/7716 is
GCF of Numerators i.e. for 9187,4318 is 1
LCM of denominators i.e. for 567,7716 is 1458324.
Thus, GCF of Fractions is 1/1458324.Finally, GCF of Fractions for 9187/567, 4318/7716 is 1/1458324.