GCF of 2274/567, 5042/9502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2274/567, 5042/9502 i.e 2/5387634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2274/567, 5042/9502.
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 2274/567,5042/9502?
Given fractions are 2274/567,5042/9502
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 2274/567,5042/9502, numerators are 2274,5042
Denominators are 567,9502
The GCF of 2274,5042 is 2 .
LCM of 567,9502 is 5387634.
The greatest common factor of 2274/567,5042/9502 = [GCF of 2274,5042]/[LCM of 567,9502]= 2/5387634
Therefore, the GCF of 2274/567,5042/9502 is 2/5387634.
To find the highest common factor of 2274,5042, we have to find the factors of both numbers and list the highest common factor.
The factors of 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274
The factors of 5042 are 1, 2, 2521, 5042
The HCF of 2274,5042 is 2.
Lets's calculate GCF of 2274,5042
| 2 | 2274, 5042 |
| 1137, 2521 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2274,5042 By Matching Biggest Common Factor Method
Now, list down the factors of 2274
:1,2,3,6,379,758,1137,2274
Now, list down the factors of 5042
:1,2,2521,5042
Greatest Common Factor
We found the factors 2274,5042 . The biggest common factor number is the GCF number.
So the greatest common factor 2274,5042 is 2.
Lets's calculate LCM of 567,9502
Given numbers has no common factors except 1. So, there LCM is their product i.e 5387634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5387634
Therefore, the GCF of Fractions 2274/567,5042/9502 is 2/5387634
Least Common Multiple of 567,9502 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 567,9502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,9502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,9502) x common factors =1 x 1 = 1
LCM(567,9502) = ( 567 × 9502 ) / 1
LCM(567,9502) = 5387634 / 1
LCM(567,9502) = 5387634
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FAQs on GCF of Fractions of 2274/567, 5042/9502
1. What is the HCF of 2274,5042?
The HCF of 2274,5042 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 2274/567, 5042/9502?
Answer: GCF of Numerators as per given numbers 2274/567, 5042/9502 is
GCF of Numerators i.e. for 2274,5042 is 2
LCM of denominators i.e. for 567,9502 is 5387634.
Thus, GCF of Fractions is 2/5387634.Finally, GCF of Fractions for 2274/567, 5042/9502 is 2/5387634.