GCF of 2674/722, 9222/2158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2674/722, 9222/2158 i.e 2/779038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2674/722, 9222/2158.
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 2674/722,9222/2158?
Given fractions are 2674/722,9222/2158
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 2674/722,9222/2158, numerators are 2674,9222
Denominators are 722,2158
The GCF of 2674,9222 is 2 .
LCM of 722,2158 is 779038.
The greatest common factor of 2674/722,9222/2158 = [GCF of 2674,9222]/[LCM of 722,2158]= 2/779038
Therefore, the GCF of 2674/722,9222/2158 is 2/779038.
To find the highest common factor of 2674,9222, we have to find the factors of both numbers and list the highest common factor.
The factors of 2674 are 1, 2, 7, 14, 191, 382, 1337, 2674
The factors of 9222 are 1, 2, 3, 6, 29, 53, 58, 87, 106, 159, 174, 318, 1537, 3074, 4611, 9222
The HCF of 2674,9222 is 2.
Lets's calculate GCF of 2674,9222
| 2 | 2674, 9222 |
| 1337, 4611 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2674,9222 By Matching Biggest Common Factor Method
Now, list down the factors of 2674
:1,2,7,14,191,382,1337,2674
Now, list down the factors of 9222
:1,2,3,6,29,53,58,87,106,159,174,318,1537,3074,4611,9222
Greatest Common Factor
We found the factors 2674,9222 . The biggest common factor number is the GCF number.
So the greatest common factor 2674,9222 is 2.
Lets's calculate LCM of 722,2158
| 2 | 722, 2158 |
| 361, 1079 |
∴ So the LCM of the given numbers is 2 x 361 x 1079 = 779038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/779038
Therefore, the GCF of Fractions 2674/722,9222/2158 is 2/779038
Least Common Multiple of 722,2158 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 722,2158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,2158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,2158) x common factors =2 x 1 = 2
LCM(722,2158) = ( 722 × 2158 ) / 2
LCM(722,2158) = 1558076 / 2
LCM(722,2158) = 779038
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FAQs on GCF of Fractions of 2674/722, 9222/2158
1. What is the HCF of 2674,9222?
The HCF of 2674,9222 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 2674/722, 9222/2158?
Answer: GCF of Numerators as per given numbers 2674/722, 9222/2158 is
GCF of Numerators i.e. for 2674,9222 is 2
LCM of denominators i.e. for 722,2158 is 779038.
Thus, GCF of Fractions is 2/779038.Finally, GCF of Fractions for 2674/722, 9222/2158 is 2/779038.