GCF of 894/428, 938/964
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, 938/964 i.e 2/103148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 894/428, 938/964.
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 894/428,938/964?
Given fractions are 894/428,938/964
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 894/428,938/964, numerators are 894,938
Denominators are 428,964
The GCF of 894,938 is 2 .
LCM of 428,964 is 103148.
The greatest common factor of 894/428,938/964 = [GCF of 894,938]/[LCM of 428,964]= 2/103148
Therefore, the GCF of 894/428,938/964 is 2/103148.
To find the highest common factor of 894,938, 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 938 are 1, 2, 7, 14, 67, 134, 469, 938
The HCF of 894,938 is 2.
Lets's calculate GCF of 894,938
| 2 | 894, 938 |
| 447, 469 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 894,938 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 938
:1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 894,938 . The biggest common factor number is the GCF number.
So the greatest common factor 894,938 is 2.
Lets's calculate LCM of 428,964
| 2 | 428, 964 |
| 2 | 214, 482 |
| 107, 241 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 241 = 103148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103148
Therefore, the GCF of Fractions 894/428,938/964 is 2/103148
Least Common Multiple of 428,964 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 428,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,964) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,964) x common factors =4 x 1 = 4
LCM(428,964) = ( 428 × 964 ) / 4
LCM(428,964) = 412592 / 4
LCM(428,964) = 103148
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FAQs on GCF of Fractions of 894/428, 938/964
1. What is the HCF of 894,938?
The HCF of 894,938 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 894/428, 938/964?
Answer: GCF of Numerators as per given numbers 894/428, 938/964 is
GCF of Numerators i.e. for 894,938 is 2
LCM of denominators i.e. for 428,964 is 103148.
Thus, GCF of Fractions is 2/103148.Finally, GCF of Fractions for 894/428, 938/964 is 2/103148.