GCF of 5874/117, 2196/677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5874/117, 2196/677 i.e 6/79209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5874/117, 2196/677.
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 5874/117,2196/677?
Given fractions are 5874/117,2196/677
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 5874/117,2196/677, numerators are 5874,2196
Denominators are 117,677
The GCF of 5874,2196 is 6 .
LCM of 117,677 is 79209.
The greatest common factor of 5874/117,2196/677 = [GCF of 5874,2196]/[LCM of 117,677]= 6/79209
Therefore, the GCF of 5874/117,2196/677 is 6/79209.
To find the highest common factor of 5874,2196, we have to find the factors of both numbers and list the highest common factor.
The factors of 5874 are 1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874
The factors of 2196 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 61, 122, 183, 244, 366, 549, 732, 1098, 2196
The HCF of 5874,2196 is 6.
Lets's calculate GCF of 5874,2196
| 2 | 5874, 2196 |
| 3 | 2937, 1098 |
| 979, 366 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5874,2196 By Matching Biggest Common Factor Method
Now, list down the factors of 5874
:1,2,3,6,11,22,33,66,89,178,267,534,979,1958,2937,5874
Now, list down the factors of 2196
:1,2,3,4,6,9,12,18,36,61,122,183,244,366,549,732,1098,2196
Greatest Common Factor
We found the factors 5874,2196 . The biggest common factor number is the GCF number.
So the greatest common factor 5874,2196 is 6.
Lets's calculate LCM of 117,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 79209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/79209
Therefore, the GCF of Fractions 5874/117,2196/677 is 6/79209
Least Common Multiple of 117,677 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 117,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,677) x common factors =1 x 1 = 1
LCM(117,677) = ( 117 × 677 ) / 1
LCM(117,677) = 79209 / 1
LCM(117,677) = 79209
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FAQs on GCF of Fractions of 5874/117, 2196/677
1. What is the HCF of 5874,2196?
The HCF of 5874,2196 is 6
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 5874/117, 2196/677?
Answer: GCF of Numerators as per given numbers 5874/117, 2196/677 is
GCF of Numerators i.e. for 5874,2196 is 6
LCM of denominators i.e. for 117,677 is 79209.
Thus, GCF of Fractions is 6/79209.Finally, GCF of Fractions for 5874/117, 2196/677 is 6/79209.