GCF of 872/14, 994/202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 872/14, 994/202 i.e 2/1414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/14, 994/202.
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 872/14,994/202?
Given fractions are 872/14,994/202
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 872/14,994/202, numerators are 872,994
Denominators are 14,202
The GCF of 872,994 is 2 .
LCM of 14,202 is 1414.
The greatest common factor of 872/14,994/202 = [GCF of 872,994]/[LCM of 14,202]= 2/1414
Therefore, the GCF of 872/14,994/202 is 2/1414.
To find the highest common factor of 872,994, we have to find the factors of both numbers and list the highest common factor.
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The HCF of 872,994 is 2.
Lets's calculate GCF of 872,994
| 2 | 872, 994 |
| 436, 497 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 872,994 By Matching Biggest Common Factor Method
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 872,994 . The biggest common factor number is the GCF number.
So the greatest common factor 872,994 is 2.
Lets's calculate LCM of 14,202
| 2 | 14, 202 |
| 7, 101 |
∴ So the LCM of the given numbers is 2 x 7 x 101 = 1414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1414
Therefore, the GCF of Fractions 872/14,994/202 is 2/1414
Least Common Multiple of 14,202 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 14,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,202) x common factors =2 x 1 = 2
LCM(14,202) = ( 14 × 202 ) / 2
LCM(14,202) = 2828 / 2
LCM(14,202) = 1414
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 872/14, 994/202
1. What is the HCF of 872,994?
The HCF of 872,994 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 872/14, 994/202?
Answer: GCF of Numerators as per given numbers 872/14, 994/202 is
GCF of Numerators i.e. for 872,994 is 2
LCM of denominators i.e. for 14,202 is 1414.
Thus, GCF of Fractions is 2/1414.Finally, GCF of Fractions for 872/14, 994/202 is 2/1414.