GCF of 2294/802, 8658/3207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2294/802, 8658/3207 i.e 74/2572014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2294/802, 8658/3207.
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 2294/802,8658/3207?
Given fractions are 2294/802,8658/3207
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 2294/802,8658/3207, numerators are 2294,8658
Denominators are 802,3207
The GCF of 2294,8658 is 74 .
LCM of 802,3207 is 2572014.
The greatest common factor of 2294/802,8658/3207 = [GCF of 2294,8658]/[LCM of 802,3207]= 74/2572014
Therefore, the GCF of 2294/802,8658/3207 is 74/2572014.
To find the highest common factor of 2294,8658, we have to find the factors of both numbers and list the highest common factor.
The factors of 2294 are 1, 2, 31, 37, 62, 74, 1147, 2294
The factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658
The HCF of 2294,8658 is 74.
Lets's calculate GCF of 2294,8658
| 2 | 2294, 8658 |
| 37 | 1147, 4329 |
| 31, 117 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Greatest Common Factor of 2294,8658 By Matching Biggest Common Factor Method
Now, list down the factors of 2294
:1,2,31,37,62,74,1147,2294
Now, list down the factors of 8658
:1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658
Greatest Common Factor
We found the factors 2294,8658 . The biggest common factor number is the GCF number.
So the greatest common factor 2294,8658 is 74.
Lets's calculate LCM of 802,3207
Given numbers has no common factors except 1. So, there LCM is their product i.e 2572014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/2572014
Therefore, the GCF of Fractions 2294/802,8658/3207 is 74/2572014
Least Common Multiple of 802,3207 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 802,3207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,3207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,3207) x common factors =1 x 1 = 1
LCM(802,3207) = ( 802 × 3207 ) / 1
LCM(802,3207) = 2572014 / 1
LCM(802,3207) = 2572014
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FAQs on GCF of Fractions of 2294/802, 8658/3207
1. What is the HCF of 2294,8658?
The HCF of 2294,8658 is 74
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 2294/802, 8658/3207?
Answer: GCF of Numerators as per given numbers 2294/802, 8658/3207 is
GCF of Numerators i.e. for 2294,8658 is 74
LCM of denominators i.e. for 802,3207 is 2572014.
Thus, GCF of Fractions is 74/2572014.Finally, GCF of Fractions for 2294/802, 8658/3207 is 74/2572014.