GCF of 8834/840, 5518/9961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8834/840, 5518/9961 i.e 2/1195320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8834/840, 5518/9961.
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 8834/840,5518/9961?
Given fractions are 8834/840,5518/9961
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 8834/840,5518/9961, numerators are 8834,5518
Denominators are 840,9961
The GCF of 8834,5518 is 2 .
LCM of 840,9961 is 1195320.
The greatest common factor of 8834/840,5518/9961 = [GCF of 8834,5518]/[LCM of 840,9961]= 2/1195320
Therefore, the GCF of 8834/840,5518/9961 is 2/1195320.
To find the highest common factor of 8834,5518, we have to find the factors of both numbers and list the highest common factor.
The factors of 8834 are 1, 2, 7, 14, 631, 1262, 4417, 8834
The factors of 5518 are 1, 2, 31, 62, 89, 178, 2759, 5518
The HCF of 8834,5518 is 2.
Lets's calculate GCF of 8834,5518
| 2 | 8834, 5518 |
| 4417, 2759 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8834,5518 By Matching Biggest Common Factor Method
Now, list down the factors of 8834
:1,2,7,14,631,1262,4417,8834
Now, list down the factors of 5518
:1,2,31,62,89,178,2759,5518
Greatest Common Factor
We found the factors 8834,5518 . The biggest common factor number is the GCF number.
So the greatest common factor 8834,5518 is 2.
Lets's calculate LCM of 840,9961
| 7 | 840, 9961 |
| 120, 1423 |
∴ So the LCM of the given numbers is 7 x 120 x 1423 = 1195320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1195320
Therefore, the GCF of Fractions 8834/840,5518/9961 is 2/1195320
Least Common Multiple of 840,9961 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 840,9961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,9961) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(840,9961) x common factors =7 x 1 = 7
LCM(840,9961) = ( 840 × 9961 ) / 7
LCM(840,9961) = 8367240 / 7
LCM(840,9961) = 1195320
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8834/840, 5518/9961
1. What is the HCF of 8834,5518?
The HCF of 8834,5518 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 8834/840, 5518/9961?
Answer: GCF of Numerators as per given numbers 8834/840, 5518/9961 is
GCF of Numerators i.e. for 8834,5518 is 2
LCM of denominators i.e. for 840,9961 is 1195320.
Thus, GCF of Fractions is 2/1195320.Finally, GCF of Fractions for 8834/840, 5518/9961 is 2/1195320.