GCF of 141/342, 596/708, 320/456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 141/342, 596/708, 320/456 i.e 1/80712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/342, 596/708, 320/456.
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 141/342,596/708,320/456?
Given fractions are 141/342,596/708,320/456
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 141/342,596/708,320/456, numerators are 141,596,320
Denominators are 342,708,456
The GCF of 141,596,320 is 1 .
LCM of 342,708,456 is 80712.
The greatest common factor of 141/342,596/708,320/456 = [GCF of 141,596,320]/[LCM of 342,708,456]= 1/80712
Therefore, the GCF of 141/342,596/708,320/456 is 1/80712.
To find the highest common factor of 141,596,320, we have to find the factors of both numbers and list the highest common factor.
The factors of 141 are 1, 3, 47, 141
The factors of 596 are 1, 2, 4, 149, 298, 596
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
The HCF of 141,596,320 is 1.
Lets's calculate GCF of 141,596,320
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 141,596,320 By Matching Biggest Common Factor Method
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 596
:1,2,4,149,298,596
Now, list down the factors of 320
:1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 141,596,320 . The biggest common factor number is the GCF number.
So the greatest common factor 141,596,320 is 1.
Lets's calculate LCM of 342,708,456
| 2 | 342, 708, 456 |
| 2 | 171, 354, 228 |
| 3 | 171, 177, 114 |
| 19 | 57, 59, 38 |
| 3, 59, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 3 x 59 x 2 = 80712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80712
Therefore, the GCF of Fractions 141/342,596/708,320/456 is 1/80712
Least Common Multiple of 342,708,456 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 342,708,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,708,456) = 6
common factors(in case of two or more numbers have common factors) = 228
GCF(342,708,456) x common factors =6 x 228 = 1368
LCM(342,708,456) = ( 342 × 708 × 456 ) / 1368
LCM(342,708,456) = 110414016 / 1368
LCM(342,708,456) = 80712
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FAQs on GCF of Fractions of 141/342, 596/708, 320/456
1. What is the HCF of 141,596,320?
The HCF of 141,596,320 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 141/342, 596/708, 320/456?
Answer: GCF of Numerators as per given numbers 141/342, 596/708, 320/456 is
GCF of Numerators i.e. for 141,596,320 is 1
LCM of denominators i.e. for 342,708,456 is 80712.
Thus, GCF of Fractions is 1/80712.Finally, GCF of Fractions for 141/342, 596/708, 320/456 is 1/80712.