GCF of 490/138, 4062/8972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 490/138, 4062/8972 i.e 2/619068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 490/138, 4062/8972.
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 490/138,4062/8972?
Given fractions are 490/138,4062/8972
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 490/138,4062/8972, numerators are 490,4062
Denominators are 138,8972
The GCF of 490,4062 is 2 .
LCM of 138,8972 is 619068.
The greatest common factor of 490/138,4062/8972 = [GCF of 490,4062]/[LCM of 138,8972]= 2/619068
Therefore, the GCF of 490/138,4062/8972 is 2/619068.
To find the highest common factor of 490,4062, we have to find the factors of both numbers and list the highest common factor.
The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062
The HCF of 490,4062 is 2.
Lets's calculate GCF of 490,4062
| 2 | 490, 4062 |
| 245, 2031 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 490,4062 By Matching Biggest Common Factor Method
Now, list down the factors of 490
:1,2,5,7,10,14,35,49,70,98,245,490
Now, list down the factors of 4062
:1,2,3,6,677,1354,2031,4062
Greatest Common Factor
We found the factors 490,4062 . The biggest common factor number is the GCF number.
So the greatest common factor 490,4062 is 2.
Lets's calculate LCM of 138,8972
| 2 | 138, 8972 |
| 69, 4486 |
∴ So the LCM of the given numbers is 2 x 69 x 4486 = 619068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/619068
Therefore, the GCF of Fractions 490/138,4062/8972 is 2/619068
Least Common Multiple of 138,8972 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 138,8972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,8972) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,8972) x common factors =2 x 1 = 2
LCM(138,8972) = ( 138 × 8972 ) / 2
LCM(138,8972) = 1238136 / 2
LCM(138,8972) = 619068
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 490/138, 4062/8972
1. What is the HCF of 490,4062?
The HCF of 490,4062 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 490/138, 4062/8972?
Answer: GCF of Numerators as per given numbers 490/138, 4062/8972 is
GCF of Numerators i.e. for 490,4062 is 2
LCM of denominators i.e. for 138,8972 is 619068.
Thus, GCF of Fractions is 2/619068.Finally, GCF of Fractions for 490/138, 4062/8972 is 2/619068.