GCF of 1095/516, 9138/597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1095/516, 9138/597 i.e 3/102684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1095/516, 9138/597.
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 1095/516,9138/597?
Given fractions are 1095/516,9138/597
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 1095/516,9138/597, numerators are 1095,9138
Denominators are 516,597
The GCF of 1095,9138 is 3 .
LCM of 516,597 is 102684.
The greatest common factor of 1095/516,9138/597 = [GCF of 1095,9138]/[LCM of 516,597]= 3/102684
Therefore, the GCF of 1095/516,9138/597 is 3/102684.
To find the highest common factor of 1095,9138, we have to find the factors of both numbers and list the highest common factor.
The factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095
The factors of 9138 are 1, 2, 3, 6, 1523, 3046, 4569, 9138
The HCF of 1095,9138 is 3.
Lets's calculate GCF of 1095,9138
| 3 | 1095, 9138 |
| 365, 3046 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1095,9138 By Matching Biggest Common Factor Method
Now, list down the factors of 1095
:1,3,5,15,73,219,365,1095
Now, list down the factors of 9138
:1,2,3,6,1523,3046,4569,9138
Greatest Common Factor
We found the factors 1095,9138 . The biggest common factor number is the GCF number.
So the greatest common factor 1095,9138 is 3.
Lets's calculate LCM of 516,597
| 3 | 516, 597 |
| 172, 199 |
∴ So the LCM of the given numbers is 3 x 172 x 199 = 102684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/102684
Therefore, the GCF of Fractions 1095/516,9138/597 is 3/102684
Least Common Multiple of 516,597 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 516,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,597) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(516,597) x common factors =3 x 1 = 3
LCM(516,597) = ( 516 × 597 ) / 3
LCM(516,597) = 308052 / 3
LCM(516,597) = 102684
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FAQs on GCF of Fractions of 1095/516, 9138/597
1. What is the HCF of 1095,9138?
The HCF of 1095,9138 is 3
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 1095/516, 9138/597?
Answer: GCF of Numerators as per given numbers 1095/516, 9138/597 is
GCF of Numerators i.e. for 1095,9138 is 3
LCM of denominators i.e. for 516,597 is 102684.
Thus, GCF of Fractions is 3/102684.Finally, GCF of Fractions for 1095/516, 9138/597 is 3/102684.