GCF of 152/918, 6104/5875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 152/918, 6104/5875 i.e 8/5393250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/918, 6104/5875.
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 152/918,6104/5875?
Given fractions are 152/918,6104/5875
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 152/918,6104/5875, numerators are 152,6104
Denominators are 918,5875
The GCF of 152,6104 is 8 .
LCM of 918,5875 is 5393250.
The greatest common factor of 152/918,6104/5875 = [GCF of 152,6104]/[LCM of 918,5875]= 8/5393250
Therefore, the GCF of 152/918,6104/5875 is 8/5393250.
To find the highest common factor of 152,6104, we have to find the factors of both numbers and list the highest common factor.
The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
The factors of 6104 are 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104
The HCF of 152,6104 is 8.
Lets's calculate GCF of 152,6104
| 2 | 152, 6104 |
| 2 | 76, 3052 |
| 2 | 38, 1526 |
| 19, 763 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 152,6104 By Matching Biggest Common Factor Method
Now, list down the factors of 152
:1,2,4,8,19,38,76,152
Now, list down the factors of 6104
:1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104
Greatest Common Factor
We found the factors 152,6104 . The biggest common factor number is the GCF number.
So the greatest common factor 152,6104 is 8.
Lets's calculate LCM of 918,5875
Given numbers has no common factors except 1. So, there LCM is their product i.e 5393250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/5393250
Therefore, the GCF of Fractions 152/918,6104/5875 is 8/5393250
Least Common Multiple of 918,5875 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 918,5875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,5875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(918,5875) x common factors =1 x 1 = 1
LCM(918,5875) = ( 918 × 5875 ) / 1
LCM(918,5875) = 5393250 / 1
LCM(918,5875) = 5393250
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FAQs on GCF of Fractions of 152/918, 6104/5875
1. What is the HCF of 152,6104?
The HCF of 152,6104 is 8
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 152/918, 6104/5875?
Answer: GCF of Numerators as per given numbers 152/918, 6104/5875 is
GCF of Numerators i.e. for 152,6104 is 8
LCM of denominators i.e. for 918,5875 is 5393250.
Thus, GCF of Fractions is 8/5393250.Finally, GCF of Fractions for 152/918, 6104/5875 is 8/5393250.