GCF of 9090/962, 3967/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9090/962, 3967/674 i.e 1/324194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9090/962, 3967/674.
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 9090/962,3967/674?
Given fractions are 9090/962,3967/674
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 9090/962,3967/674, numerators are 9090,3967
Denominators are 962,674
The GCF of 9090,3967 is 1 .
LCM of 962,674 is 324194.
The greatest common factor of 9090/962,3967/674 = [GCF of 9090,3967]/[LCM of 962,674]= 1/324194
Therefore, the GCF of 9090/962,3967/674 is 1/324194.
To find the highest common factor of 9090,3967, we have to find the factors of both numbers and list the highest common factor.
The factors of 9090 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 101, 202, 303, 505, 606, 909, 1010, 1515, 1818, 3030, 4545, 9090
The factors of 3967 are 1, 3967
The HCF of 9090,3967 is 1.
Lets's calculate GCF of 9090,3967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9090,3967 By Matching Biggest Common Factor Method
Now, list down the factors of 9090
:1,2,3,5,6,9,10,15,18,30,45,90,101,202,303,505,606,909,1010,1515,1818,3030,4545,9090
Now, list down the factors of 3967
:1,3967
Greatest Common Factor
We found the factors 9090,3967 . The biggest common factor number is the GCF number.
So the greatest common factor 9090,3967 is 1.
Lets's calculate LCM of 962,674
| 2 | 962, 674 |
| 481, 337 |
∴ So the LCM of the given numbers is 2 x 481 x 337 = 324194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324194
Therefore, the GCF of Fractions 9090/962,3967/674 is 1/324194
Least Common Multiple of 962,674 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 962,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(962,674) x common factors =2 x 1 = 2
LCM(962,674) = ( 962 × 674 ) / 2
LCM(962,674) = 648388 / 2
LCM(962,674) = 324194
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FAQs on GCF of Fractions of 9090/962, 3967/674
1. What is the HCF of 9090,3967?
The HCF of 9090,3967 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 9090/962, 3967/674?
Answer: GCF of Numerators as per given numbers 9090/962, 3967/674 is
GCF of Numerators i.e. for 9090,3967 is 1
LCM of denominators i.e. for 962,674 is 324194.
Thus, GCF of Fractions is 1/324194.Finally, GCF of Fractions for 9090/962, 3967/674 is 1/324194.