GCF of 158/729, 822/858, 874/458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 158/729, 822/858, 874/458 i.e 2/47745126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/729, 822/858, 874/458.
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 158/729,822/858,874/458?
Given fractions are 158/729,822/858,874/458
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 158/729,822/858,874/458, numerators are 158,822,874
Denominators are 729,858,458
The GCF of 158,822,874 is 2 .
LCM of 729,858,458 is 47745126.
The greatest common factor of 158/729,822/858,874/458 = [GCF of 158,822,874]/[LCM of 729,858,458]= 2/47745126
Therefore, the GCF of 158/729,822/858,874/458 is 2/47745126.
To find the highest common factor of 158,822,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 158 are 1, 2, 79, 158
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 158,822,874 is 2.
Lets's calculate GCF of 158,822,874
| 2 | 158, 822, 874 |
| 79, 411, 437 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 158,822,874 By Matching Biggest Common Factor Method
Now, list down the factors of 158
:1,2,79,158
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 158,822,874 . The biggest common factor number is the GCF number.
So the greatest common factor 158,822,874 is 2.
Lets's calculate LCM of 729,858,458
| 2 | 729, 858, 458 |
| 3 | 729, 429, 229 |
| 243, 143, 229 |
∴ So the LCM of the given numbers is 2 x 3 x 243 x 143 x 229 = 47745126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47745126
Therefore, the GCF of Fractions 158/729,822/858,874/458 is 2/47745126
Least Common Multiple of 729,858,458 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 729,858,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,858,458) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(729,858,458) x common factors =1 x 6 = 6
LCM(729,858,458) = ( 729 × 858 × 458 ) / 6
LCM(729,858,458) = 286470756 / 6
LCM(729,858,458) = 47745126
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FAQs on GCF of Fractions of 158/729, 822/858, 874/458
1. What is the HCF of 158,822,874?
The HCF of 158,822,874 is 2
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 158/729, 822/858, 874/458?
Answer: GCF of Numerators as per given numbers 158/729, 822/858, 874/458 is
GCF of Numerators i.e. for 158,822,874 is 2
LCM of denominators i.e. for 729,858,458 is 47745126.
Thus, GCF of Fractions is 2/47745126.Finally, GCF of Fractions for 158/729, 822/858, 874/458 is 2/47745126.