GCF of 490/68, 602/962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 490/68, 602/962 i.e 14/32708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 490/68, 602/962.
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 490/68,602/962?
Given fractions are 490/68,602/962
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 490/68,602/962, numerators are 490,602
Denominators are 68,962
The GCF of 490,602 is 14 .
LCM of 68,962 is 32708.
The greatest common factor of 490/68,602/962 = [GCF of 490,602]/[LCM of 68,962]= 14/32708
Therefore, the GCF of 490/68,602/962 is 14/32708.
To find the highest common factor of 490,602, 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 602 are 1, 2, 7, 14, 43, 86, 301, 602
The HCF of 490,602 is 14.
Lets's calculate GCF of 490,602
| 2 | 490, 602 |
| 7 | 245, 301 |
| 35, 43 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 490,602 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 602
:1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 490,602 . The biggest common factor number is the GCF number.
So the greatest common factor 490,602 is 14.
Lets's calculate LCM of 68,962
| 2 | 68, 962 |
| 34, 481 |
∴ So the LCM of the given numbers is 2 x 34 x 481 = 32708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/32708
Therefore, the GCF of Fractions 490/68,602/962 is 14/32708
Least Common Multiple of 68,962 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 68,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(68,962) x common factors =2 x 1 = 2
LCM(68,962) = ( 68 × 962 ) / 2
LCM(68,962) = 65416 / 2
LCM(68,962) = 32708
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 490/68, 602/962
1. What is the HCF of 490,602?
The HCF of 490,602 is 14
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 490/68, 602/962?
Answer: GCF of Numerators as per given numbers 490/68, 602/962 is
GCF of Numerators i.e. for 490,602 is 14
LCM of denominators i.e. for 68,962 is 32708.
Thus, GCF of Fractions is 14/32708.Finally, GCF of Fractions for 490/68, 602/962 is 14/32708.