GCF of 8922/686, 9898/2554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8922/686, 9898/2554 i.e 2/876022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8922/686, 9898/2554.
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 8922/686,9898/2554?
Given fractions are 8922/686,9898/2554
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 8922/686,9898/2554, numerators are 8922,9898
Denominators are 686,2554
The GCF of 8922,9898 is 2 .
LCM of 686,2554 is 876022.
The greatest common factor of 8922/686,9898/2554 = [GCF of 8922,9898]/[LCM of 686,2554]= 2/876022
Therefore, the GCF of 8922/686,9898/2554 is 2/876022.
To find the highest common factor of 8922,9898, we have to find the factors of both numbers and list the highest common factor.
The factors of 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922
The factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898
The HCF of 8922,9898 is 2.
Lets's calculate GCF of 8922,9898
| 2 | 8922, 9898 |
| 4461, 4949 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8922,9898 By Matching Biggest Common Factor Method
Now, list down the factors of 8922
:1,2,3,6,1487,2974,4461,8922
Now, list down the factors of 9898
:1,2,7,14,49,98,101,202,707,1414,4949,9898
Greatest Common Factor
We found the factors 8922,9898 . The biggest common factor number is the GCF number.
So the greatest common factor 8922,9898 is 2.
Lets's calculate LCM of 686,2554
| 2 | 686, 2554 |
| 343, 1277 |
∴ So the LCM of the given numbers is 2 x 343 x 1277 = 876022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/876022
Therefore, the GCF of Fractions 8922/686,9898/2554 is 2/876022
Least Common Multiple of 686,2554 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 686,2554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,2554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,2554) x common factors =2 x 1 = 2
LCM(686,2554) = ( 686 × 2554 ) / 2
LCM(686,2554) = 1752044 / 2
LCM(686,2554) = 876022
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FAQs on GCF of Fractions of 8922/686, 9898/2554
1. What is the HCF of 8922,9898?
The HCF of 8922,9898 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 8922/686, 9898/2554?
Answer: GCF of Numerators as per given numbers 8922/686, 9898/2554 is
GCF of Numerators i.e. for 8922,9898 is 2
LCM of denominators i.e. for 686,2554 is 876022.
Thus, GCF of Fractions is 2/876022.Finally, GCF of Fractions for 8922/686, 9898/2554 is 2/876022.