GCF of 5662/862, 5111/2269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5662/862, 5111/2269 i.e 19/1955878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5662/862, 5111/2269.
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 5662/862,5111/2269?
Given fractions are 5662/862,5111/2269
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 5662/862,5111/2269, numerators are 5662,5111
Denominators are 862,2269
The GCF of 5662,5111 is 19 .
LCM of 862,2269 is 1955878.
The greatest common factor of 5662/862,5111/2269 = [GCF of 5662,5111]/[LCM of 862,2269]= 19/1955878
Therefore, the GCF of 5662/862,5111/2269 is 19/1955878.
To find the highest common factor of 5662,5111, we have to find the factors of both numbers and list the highest common factor.
The factors of 5662 are 1, 2, 19, 38, 149, 298, 2831, 5662
The factors of 5111 are 1, 19, 269, 5111
The HCF of 5662,5111 is 19.
Lets's calculate GCF of 5662,5111
| 19 | 5662, 5111 |
| 298, 269 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 5662,5111 By Matching Biggest Common Factor Method
Now, list down the factors of 5662
:1,2,19,38,149,298,2831,5662
Now, list down the factors of 5111
:1,19,269,5111
Greatest Common Factor
We found the factors 5662,5111 . The biggest common factor number is the GCF number.
So the greatest common factor 5662,5111 is 19.
Lets's calculate LCM of 862,2269
Given numbers has no common factors except 1. So, there LCM is their product i.e 1955878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1955878
Therefore, the GCF of Fractions 5662/862,5111/2269 is 19/1955878
Least Common Multiple of 862,2269 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 862,2269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,2269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,2269) x common factors =1 x 1 = 1
LCM(862,2269) = ( 862 × 2269 ) / 1
LCM(862,2269) = 1955878 / 1
LCM(862,2269) = 1955878
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FAQs on GCF of Fractions of 5662/862, 5111/2269
1. What is the HCF of 5662,5111?
The HCF of 5662,5111 is 19
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 5662/862, 5111/2269?
Answer: GCF of Numerators as per given numbers 5662/862, 5111/2269 is
GCF of Numerators i.e. for 5662,5111 is 19
LCM of denominators i.e. for 862,2269 is 1955878.
Thus, GCF of Fractions is 19/1955878.Finally, GCF of Fractions for 5662/862, 5111/2269 is 19/1955878.