GCF of 61/985, 12/159, 878/265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/985, 12/159, 878/265 i.e 1/156615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/985, 12/159, 878/265.
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 61/985,12/159,878/265?
Given fractions are 61/985,12/159,878/265
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 61/985,12/159,878/265, numerators are 61,12,878
Denominators are 985,159,265
The GCF of 61,12,878 is 1 .
LCM of 985,159,265 is 156615.
The greatest common factor of 61/985,12/159,878/265 = [GCF of 61,12,878]/[LCM of 985,159,265]= 1/156615
Therefore, the GCF of 61/985,12/159,878/265 is 1/156615.
To find the highest common factor of 61,12,878, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 878 are 1, 2, 439, 878
The HCF of 61,12,878 is 1.
Lets's calculate GCF of 61,12,878
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 61,12,878 By Matching Biggest Common Factor Method
Now, list down the factors of 61
:1,61
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 878
:1,2,439,878
Greatest Common Factor
We found the factors 61,12,878 . The biggest common factor number is the GCF number.
So the greatest common factor 61,12,878 is 1.
Lets's calculate LCM of 985,159,265
| 5 | 985, 159, 265 |
| 53 | 197, 159, 53 |
| 197, 3, 1 |
∴ So the LCM of the given numbers is 5 x 53 x 197 x 3 x 1 = 156615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156615
Therefore, the GCF of Fractions 61/985,12/159,878/265 is 1/156615
Least Common Multiple of 985,159,265 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 985,159,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,159,265) = 1
common factors(in case of two or more numbers have common factors) = 265
GCF(985,159,265) x common factors =1 x 265 = 265
LCM(985,159,265) = ( 985 × 159 × 265 ) / 265
LCM(985,159,265) = 41502975 / 265
LCM(985,159,265) = 156615
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FAQs on GCF of Fractions of 61/985, 12/159, 878/265
1. What is the HCF of 61,12,878?
The HCF of 61,12,878 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 61/985, 12/159, 878/265?
Answer: GCF of Numerators as per given numbers 61/985, 12/159, 878/265 is
GCF of Numerators i.e. for 61,12,878 is 1
LCM of denominators i.e. for 985,159,265 is 156615.
Thus, GCF of Fractions is 1/156615.Finally, GCF of Fractions for 61/985, 12/159, 878/265 is 1/156615.