GCF of 5452/583, 2084/9757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5452/583, 2084/9757 i.e 4/517121 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5452/583, 2084/9757.
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 5452/583,2084/9757?
Given fractions are 5452/583,2084/9757
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 5452/583,2084/9757, numerators are 5452,2084
Denominators are 583,9757
The GCF of 5452,2084 is 4 .
LCM of 583,9757 is 517121.
The greatest common factor of 5452/583,2084/9757 = [GCF of 5452,2084]/[LCM of 583,9757]= 4/517121
Therefore, the GCF of 5452/583,2084/9757 is 4/517121.
To find the highest common factor of 5452,2084, we have to find the factors of both numbers and list the highest common factor.
The factors of 5452 are 1, 2, 4, 29, 47, 58, 94, 116, 188, 1363, 2726, 5452
The factors of 2084 are 1, 2, 4, 521, 1042, 2084
The HCF of 5452,2084 is 4.
Lets's calculate GCF of 5452,2084
| 2 | 5452, 2084 |
| 2 | 2726, 1042 |
| 1363, 521 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5452,2084 By Matching Biggest Common Factor Method
Now, list down the factors of 5452
:1,2,4,29,47,58,94,116,188,1363,2726,5452
Now, list down the factors of 2084
:1,2,4,521,1042,2084
Greatest Common Factor
We found the factors 5452,2084 . The biggest common factor number is the GCF number.
So the greatest common factor 5452,2084 is 4.
Lets's calculate LCM of 583,9757
| 11 | 583, 9757 |
| 53, 887 |
∴ So the LCM of the given numbers is 11 x 53 x 887 = 517121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/517121
Therefore, the GCF of Fractions 5452/583,2084/9757 is 4/517121
Least Common Multiple of 583,9757 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 583,9757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,9757) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(583,9757) x common factors =11 x 1 = 11
LCM(583,9757) = ( 583 × 9757 ) / 11
LCM(583,9757) = 5688331 / 11
LCM(583,9757) = 517121
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FAQs on GCF of Fractions of 5452/583, 2084/9757
1. What is the HCF of 5452,2084?
The HCF of 5452,2084 is 4
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 5452/583, 2084/9757?
Answer: GCF of Numerators as per given numbers 5452/583, 2084/9757 is
GCF of Numerators i.e. for 5452,2084 is 4
LCM of denominators i.e. for 583,9757 is 517121.
Thus, GCF of Fractions is 4/517121.Finally, GCF of Fractions for 5452/583, 2084/9757 is 4/517121.