GCF of 2989/902, 9653/3148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2989/902, 9653/3148 i.e 49/1419748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2989/902, 9653/3148.
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 2989/902,9653/3148?
Given fractions are 2989/902,9653/3148
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 2989/902,9653/3148, numerators are 2989,9653
Denominators are 902,3148
The GCF of 2989,9653 is 49 .
LCM of 902,3148 is 1419748.
The greatest common factor of 2989/902,9653/3148 = [GCF of 2989,9653]/[LCM of 902,3148]= 49/1419748
Therefore, the GCF of 2989/902,9653/3148 is 49/1419748.
To find the highest common factor of 2989,9653, we have to find the factors of both numbers and list the highest common factor.
The factors of 2989 are 1, 7, 49, 61, 427, 2989
The factors of 9653 are 1, 7, 49, 197, 1379, 9653
The HCF of 2989,9653 is 49.
Lets's calculate GCF of 2989,9653
| 7 | 2989, 9653 |
| 7 | 427, 1379 |
| 61, 197 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 2989,9653 By Matching Biggest Common Factor Method
Now, list down the factors of 2989
:1,7,49,61,427,2989
Now, list down the factors of 9653
:1,7,49,197,1379,9653
Greatest Common Factor
We found the factors 2989,9653 . The biggest common factor number is the GCF number.
So the greatest common factor 2989,9653 is 49.
Lets's calculate LCM of 902,3148
| 2 | 902, 3148 |
| 451, 1574 |
∴ So the LCM of the given numbers is 2 x 451 x 1574 = 1419748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/1419748
Therefore, the GCF of Fractions 2989/902,9653/3148 is 49/1419748
Least Common Multiple of 902,3148 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 902,3148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,3148) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,3148) x common factors =2 x 1 = 2
LCM(902,3148) = ( 902 × 3148 ) / 2
LCM(902,3148) = 2839496 / 2
LCM(902,3148) = 1419748
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FAQs on GCF of Fractions of 2989/902, 9653/3148
1. What is the HCF of 2989,9653?
The HCF of 2989,9653 is 49
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 2989/902, 9653/3148?
Answer: GCF of Numerators as per given numbers 2989/902, 9653/3148 is
GCF of Numerators i.e. for 2989,9653 is 49
LCM of denominators i.e. for 902,3148 is 1419748.
Thus, GCF of Fractions is 49/1419748.Finally, GCF of Fractions for 2989/902, 9653/3148 is 49/1419748.