GCF of 8914/13, 9778/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8914/13, 9778/724 i.e 2/9412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8914/13, 9778/724.
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 8914/13,9778/724?
Given fractions are 8914/13,9778/724
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 8914/13,9778/724, numerators are 8914,9778
Denominators are 13,724
The GCF of 8914,9778 is 2 .
LCM of 13,724 is 9412.
The greatest common factor of 8914/13,9778/724 = [GCF of 8914,9778]/[LCM of 13,724]= 2/9412
Therefore, the GCF of 8914/13,9778/724 is 2/9412.
To find the highest common factor of 8914,9778, we have to find the factors of both numbers and list the highest common factor.
The factors of 8914 are 1, 2, 4457, 8914
The factors of 9778 are 1, 2, 4889, 9778
The HCF of 8914,9778 is 2.
Lets's calculate GCF of 8914,9778
| 2 | 8914, 9778 |
| 4457, 4889 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8914,9778 By Matching Biggest Common Factor Method
Now, list down the factors of 8914
:1,2,4457,8914
Now, list down the factors of 9778
:1,2,4889,9778
Greatest Common Factor
We found the factors 8914,9778 . The biggest common factor number is the GCF number.
So the greatest common factor 8914,9778 is 2.
Lets's calculate LCM of 13,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 9412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9412
Therefore, the GCF of Fractions 8914/13,9778/724 is 2/9412
Least Common Multiple of 13,724 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 13,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,724) x common factors =1 x 1 = 1
LCM(13,724) = ( 13 × 724 ) / 1
LCM(13,724) = 9412 / 1
LCM(13,724) = 9412
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FAQs on GCF of Fractions of 8914/13, 9778/724
1. What is the HCF of 8914,9778?
The HCF of 8914,9778 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 8914/13, 9778/724?
Answer: GCF of Numerators as per given numbers 8914/13, 9778/724 is
GCF of Numerators i.e. for 8914,9778 is 2
LCM of denominators i.e. for 13,724 is 9412.
Thus, GCF of Fractions is 2/9412.Finally, GCF of Fractions for 8914/13, 9778/724 is 2/9412.