GCF of 994/682, 2272/852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/682, 2272/852 i.e 142/290532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/682, 2272/852.
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 994/682,2272/852?
Given fractions are 994/682,2272/852
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 994/682,2272/852, numerators are 994,2272
Denominators are 682,852
The GCF of 994,2272 is 142 .
LCM of 682,852 is 290532.
The greatest common factor of 994/682,2272/852 = [GCF of 994,2272]/[LCM of 682,852]= 142/290532
Therefore, the GCF of 994/682,2272/852 is 142/290532.
To find the highest common factor of 994,2272, 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 2272 are 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136, 2272
The HCF of 994,2272 is 142.
Lets's calculate GCF of 994,2272
| 2 | 994, 2272 |
| 71 | 497, 1136 |
| 7, 16 |
∴ So the GCF of the given numbers is 2 x 71 = 142
Greatest Common Factor of 994,2272 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 2272
:1,2,4,8,16,32,71,142,284,568,1136,2272
Greatest Common Factor
We found the factors 994,2272 . The biggest common factor number is the GCF number.
So the greatest common factor 994,2272 is 142.
Lets's calculate LCM of 682,852
| 2 | 682, 852 |
| 341, 426 |
∴ So the LCM of the given numbers is 2 x 341 x 426 = 290532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 142/290532
Therefore, the GCF of Fractions 994/682,2272/852 is 142/290532
Least Common Multiple of 682,852 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 682,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,852) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,852) x common factors =2 x 1 = 2
LCM(682,852) = ( 682 × 852 ) / 2
LCM(682,852) = 581064 / 2
LCM(682,852) = 290532
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FAQs on GCF of Fractions of 994/682, 2272/852
1. What is the HCF of 994,2272?
The HCF of 994,2272 is 142
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 994/682, 2272/852?
Answer: GCF of Numerators as per given numbers 994/682, 2272/852 is
GCF of Numerators i.e. for 994,2272 is 142
LCM of denominators i.e. for 682,852 is 290532.
Thus, GCF of Fractions is 142/290532.Finally, GCF of Fractions for 994/682, 2272/852 is 142/290532.