GCF of 2734/623, 1210/9244
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2734/623, 1210/9244 i.e 2/5759012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2734/623, 1210/9244.
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 2734/623,1210/9244?
Given fractions are 2734/623,1210/9244
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 2734/623,1210/9244, numerators are 2734,1210
Denominators are 623,9244
The GCF of 2734,1210 is 2 .
LCM of 623,9244 is 5759012.
The greatest common factor of 2734/623,1210/9244 = [GCF of 2734,1210]/[LCM of 623,9244]= 2/5759012
Therefore, the GCF of 2734/623,1210/9244 is 2/5759012.
To find the highest common factor of 2734,1210, we have to find the factors of both numbers and list the highest common factor.
The factors of 2734 are 1, 2, 1367, 2734
The factors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210
The HCF of 2734,1210 is 2.
Lets's calculate GCF of 2734,1210
| 2 | 2734, 1210 |
| 1367, 605 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2734,1210 By Matching Biggest Common Factor Method
Now, list down the factors of 2734
:1,2,1367,2734
Now, list down the factors of 1210
:1,2,5,10,11,22,55,110,121,242,605,1210
Greatest Common Factor
We found the factors 2734,1210 . The biggest common factor number is the GCF number.
So the greatest common factor 2734,1210 is 2.
Lets's calculate LCM of 623,9244
Given numbers has no common factors except 1. So, there LCM is their product i.e 5759012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5759012
Therefore, the GCF of Fractions 2734/623,1210/9244 is 2/5759012
Least Common Multiple of 623,9244 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 623,9244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,9244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,9244) x common factors =1 x 1 = 1
LCM(623,9244) = ( 623 × 9244 ) / 1
LCM(623,9244) = 5759012 / 1
LCM(623,9244) = 5759012
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FAQs on GCF of Fractions of 2734/623, 1210/9244
1. What is the HCF of 2734,1210?
The HCF of 2734,1210 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 2734/623, 1210/9244?
Answer: GCF of Numerators as per given numbers 2734/623, 1210/9244 is
GCF of Numerators i.e. for 2734,1210 is 2
LCM of denominators i.e. for 623,9244 is 5759012.
Thus, GCF of Fractions is 2/5759012.Finally, GCF of Fractions for 2734/623, 1210/9244 is 2/5759012.