GCF of 994/612, 925/612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/612, 925/612 i.e 1/612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/612, 925/612.
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 994/612,925/612?
Given fractions are 994/612,925/612
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 994/612,925/612, numerators are 994,925
Denominators are 612,612
The GCF of 994,925 is 1 .
LCM of 612,612 is 612.
The greatest common factor of 994/612,925/612 = [GCF of 994,925]/[LCM of 612,612]= 1/612
Therefore, the GCF of 994/612,925/612 is 1/612.
To find the highest common factor of 994,925, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 925 are 1, 5, 25, 37, 185, 925
The HCF of 994,925 is 1.
Lets's calculate GCF of 994,925
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 994,925 By Matching Biggest Common Factor Method
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 925
:1,5,25,37,185,925
Greatest Common Factor
We found the factors 994,925 . The biggest common factor number is the GCF number.
So the greatest common factor 994,925 is 1.
Lets's calculate LCM of 612,612
| 2 | 612, 612 |
| 2 | 306, 306 |
| 3 | 153, 153 |
| 3 | 51, 51 |
| 17 | 17, 17 |
| 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 1 x 1 = 612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/612
Therefore, the GCF of Fractions 994/612,925/612 is 1/612
Least Common Multiple of 612,612 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 612,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,612) = 612
common factors(in case of two or more numbers have common factors) = 1
GCF(612,612) x common factors =612 x 1 = 612
LCM(612,612) = ( 612 × 612 ) / 612
LCM(612,612) = 374544 / 612
LCM(612,612) = 612
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FAQs on GCF of Fractions of 994/612, 925/612
1. What is the HCF of 994,925?
The HCF of 994,925 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 994/612, 925/612?
Answer: GCF of Numerators as per given numbers 994/612, 925/612 is
GCF of Numerators i.e. for 994,925 is 1
LCM of denominators i.e. for 612,612 is 612.
Thus, GCF of Fractions is 1/612.Finally, GCF of Fractions for 994/612, 925/612 is 1/612.