GCF of 5621/714, 2317/184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5621/714, 2317/184 i.e 7/65688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5621/714, 2317/184.
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 5621/714,2317/184?
Given fractions are 5621/714,2317/184
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 5621/714,2317/184, numerators are 5621,2317
Denominators are 714,184
The GCF of 5621,2317 is 7 .
LCM of 714,184 is 65688.
The greatest common factor of 5621/714,2317/184 = [GCF of 5621,2317]/[LCM of 714,184]= 7/65688
Therefore, the GCF of 5621/714,2317/184 is 7/65688.
To find the highest common factor of 5621,2317, we have to find the factors of both numbers and list the highest common factor.
The factors of 5621 are 1, 7, 11, 73, 77, 511, 803, 5621
The factors of 2317 are 1, 7, 331, 2317
The HCF of 5621,2317 is 7.
Lets's calculate GCF of 5621,2317
| 7 | 5621, 2317 |
| 803, 331 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5621,2317 By Matching Biggest Common Factor Method
Now, list down the factors of 5621
:1,7,11,73,77,511,803,5621
Now, list down the factors of 2317
:1,7,331,2317
Greatest Common Factor
We found the factors 5621,2317 . The biggest common factor number is the GCF number.
So the greatest common factor 5621,2317 is 7.
Lets's calculate LCM of 714,184
| 2 | 714, 184 |
| 357, 92 |
∴ So the LCM of the given numbers is 2 x 357 x 92 = 65688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/65688
Therefore, the GCF of Fractions 5621/714,2317/184 is 7/65688
Least Common Multiple of 714,184 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 714,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,184) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,184) x common factors =2 x 1 = 2
LCM(714,184) = ( 714 × 184 ) / 2
LCM(714,184) = 131376 / 2
LCM(714,184) = 65688
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FAQs on GCF of Fractions of 5621/714, 2317/184
1. What is the HCF of 5621,2317?
The HCF of 5621,2317 is 7
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 5621/714, 2317/184?
Answer: GCF of Numerators as per given numbers 5621/714, 2317/184 is
GCF of Numerators i.e. for 5621,2317 is 7
LCM of denominators i.e. for 714,184 is 65688.
Thus, GCF of Fractions is 7/65688.Finally, GCF of Fractions for 5621/714, 2317/184 is 7/65688.