GCF of 9734/778, 8530/2869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9734/778, 8530/2869 i.e 2/2232082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9734/778, 8530/2869.
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 9734/778,8530/2869?
Given fractions are 9734/778,8530/2869
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 9734/778,8530/2869, numerators are 9734,8530
Denominators are 778,2869
The GCF of 9734,8530 is 2 .
LCM of 778,2869 is 2232082.
The greatest common factor of 9734/778,8530/2869 = [GCF of 9734,8530]/[LCM of 778,2869]= 2/2232082
Therefore, the GCF of 9734/778,8530/2869 is 2/2232082.
To find the highest common factor of 9734,8530, 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 8530 are 1, 2, 5, 10, 853, 1706, 4265, 8530
The HCF of 9734,8530 is 2.
Lets's calculate GCF of 9734,8530
| 2 | 9734, 8530 |
| 4867, 4265 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9734,8530 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 8530
:1,2,5,10,853,1706,4265,8530
Greatest Common Factor
We found the factors 9734,8530 . The biggest common factor number is the GCF number.
So the greatest common factor 9734,8530 is 2.
Lets's calculate LCM of 778,2869
Given numbers has no common factors except 1. So, there LCM is their product i.e 2232082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2232082
Therefore, the GCF of Fractions 9734/778,8530/2869 is 2/2232082
Least Common Multiple of 778,2869 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 778,2869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,2869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,2869) x common factors =1 x 1 = 1
LCM(778,2869) = ( 778 × 2869 ) / 1
LCM(778,2869) = 2232082 / 1
LCM(778,2869) = 2232082
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FAQs on GCF of Fractions of 9734/778, 8530/2869
1. What is the HCF of 9734,8530?
The HCF of 9734,8530 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 9734/778, 8530/2869?
Answer: GCF of Numerators as per given numbers 9734/778, 8530/2869 is
GCF of Numerators i.e. for 9734,8530 is 2
LCM of denominators i.e. for 778,2869 is 2232082.
Thus, GCF of Fractions is 2/2232082.Finally, GCF of Fractions for 9734/778, 8530/2869 is 2/2232082.