GCF of 9734/798, 5552/8641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9734/798, 5552/8641 i.e 2/6895518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9734/798, 5552/8641.
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 9734/798,5552/8641?
Given fractions are 9734/798,5552/8641
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 9734/798,5552/8641, numerators are 9734,5552
Denominators are 798,8641
The GCF of 9734,5552 is 2 .
LCM of 798,8641 is 6895518.
The greatest common factor of 9734/798,5552/8641 = [GCF of 9734,5552]/[LCM of 798,8641]= 2/6895518
Therefore, the GCF of 9734/798,5552/8641 is 2/6895518.
To find the highest common factor of 9734,5552, we have to find the factors of both numbers and list the highest common factor.
The factors of 9734 are 1, 2, 31, 62, 157, 314, 4867, 9734
The factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552
The HCF of 9734,5552 is 2.
Lets's calculate GCF of 9734,5552
| 2 | 9734, 5552 |
| 4867, 2776 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9734,5552 By Matching Biggest Common Factor Method
Now, list down the factors of 9734
:1,2,31,62,157,314,4867,9734
Now, list down the factors of 5552
:1,2,4,8,16,347,694,1388,2776,5552
Greatest Common Factor
We found the factors 9734,5552 . The biggest common factor number is the GCF number.
So the greatest common factor 9734,5552 is 2.
Lets's calculate LCM of 798,8641
Given numbers has no common factors except 1. So, there LCM is their product i.e 6895518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6895518
Therefore, the GCF of Fractions 9734/798,5552/8641 is 2/6895518
Least Common Multiple of 798,8641 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 798,8641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,8641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(798,8641) x common factors =1 x 1 = 1
LCM(798,8641) = ( 798 × 8641 ) / 1
LCM(798,8641) = 6895518 / 1
LCM(798,8641) = 6895518
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FAQs on GCF of Fractions of 9734/798, 5552/8641
1. What is the HCF of 9734,5552?
The HCF of 9734,5552 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 9734/798, 5552/8641?
Answer: GCF of Numerators as per given numbers 9734/798, 5552/8641 is
GCF of Numerators i.e. for 9734,5552 is 2
LCM of denominators i.e. for 798,8641 is 6895518.
Thus, GCF of Fractions is 2/6895518.Finally, GCF of Fractions for 9734/798, 5552/8641 is 2/6895518.