GCF of 894/428, 312/158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 894/428, 312/158 i.e 6/33812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 894/428, 312/158.
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 894/428,312/158?
Given fractions are 894/428,312/158
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 894/428,312/158, numerators are 894,312
Denominators are 428,158
The GCF of 894,312 is 6 .
LCM of 428,158 is 33812.
The greatest common factor of 894/428,312/158 = [GCF of 894,312]/[LCM of 428,158]= 6/33812
Therefore, the GCF of 894/428,312/158 is 6/33812.
To find the highest common factor of 894,312, we have to find the factors of both numbers and list the highest common factor.
The factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 894,312 is 6.
Lets's calculate GCF of 894,312
| 2 | 894, 312 |
| 3 | 447, 156 |
| 149, 52 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 894,312 By Matching Biggest Common Factor Method
Now, list down the factors of 894
:1,2,3,6,149,298,447,894
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 894,312 . The biggest common factor number is the GCF number.
So the greatest common factor 894,312 is 6.
Lets's calculate LCM of 428,158
| 2 | 428, 158 |
| 214, 79 |
∴ So the LCM of the given numbers is 2 x 214 x 79 = 33812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/33812
Therefore, the GCF of Fractions 894/428,312/158 is 6/33812
Least Common Multiple of 428,158 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 428,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,158) x common factors =2 x 1 = 2
LCM(428,158) = ( 428 × 158 ) / 2
LCM(428,158) = 67624 / 2
LCM(428,158) = 33812
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FAQs on GCF of Fractions of 894/428, 312/158
1. What is the HCF of 894,312?
The HCF of 894,312 is 6
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 894/428, 312/158?
Answer: GCF of Numerators as per given numbers 894/428, 312/158 is
GCF of Numerators i.e. for 894,312 is 6
LCM of denominators i.e. for 428,158 is 33812.
Thus, GCF of Fractions is 6/33812.Finally, GCF of Fractions for 894/428, 312/158 is 6/33812.