GCF of 9814/226, 9701/8522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9814/226, 9701/8522 i.e 1/962986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9814/226, 9701/8522.
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 9814/226,9701/8522?
Given fractions are 9814/226,9701/8522
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 9814/226,9701/8522, numerators are 9814,9701
Denominators are 226,8522
The GCF of 9814,9701 is 1 .
LCM of 226,8522 is 962986.
The greatest common factor of 9814/226,9701/8522 = [GCF of 9814,9701]/[LCM of 226,8522]= 1/962986
Therefore, the GCF of 9814/226,9701/8522 is 1/962986.
To find the highest common factor of 9814,9701, we have to find the factors of both numbers and list the highest common factor.
The factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814
The factors of 9701 are 1, 89, 109, 9701
The HCF of 9814,9701 is 1.
Lets's calculate GCF of 9814,9701
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9814,9701 By Matching Biggest Common Factor Method
Now, list down the factors of 9814
:1,2,7,14,701,1402,4907,9814
Now, list down the factors of 9701
:1,89,109,9701
Greatest Common Factor
We found the factors 9814,9701 . The biggest common factor number is the GCF number.
So the greatest common factor 9814,9701 is 1.
Lets's calculate LCM of 226,8522
| 2 | 226, 8522 |
| 113, 4261 |
∴ So the LCM of the given numbers is 2 x 113 x 4261 = 962986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/962986
Therefore, the GCF of Fractions 9814/226,9701/8522 is 1/962986
Least Common Multiple of 226,8522 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 226,8522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,8522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,8522) x common factors =2 x 1 = 2
LCM(226,8522) = ( 226 × 8522 ) / 2
LCM(226,8522) = 1925972 / 2
LCM(226,8522) = 962986
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FAQs on GCF of Fractions of 9814/226, 9701/8522
1. What is the HCF of 9814,9701?
The HCF of 9814,9701 is 1
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 9814/226, 9701/8522?
Answer: GCF of Numerators as per given numbers 9814/226, 9701/8522 is
GCF of Numerators i.e. for 9814,9701 is 1
LCM of denominators i.e. for 226,8522 is 962986.
Thus, GCF of Fractions is 1/962986.Finally, GCF of Fractions for 9814/226, 9701/8522 is 1/962986.