GCF of 2652/587, 3206/5642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2652/587, 3206/5642 i.e 2/3311854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2652/587, 3206/5642.
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 2652/587,3206/5642?
Given fractions are 2652/587,3206/5642
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 2652/587,3206/5642, numerators are 2652,3206
Denominators are 587,5642
The GCF of 2652,3206 is 2 .
LCM of 587,5642 is 3311854.
The greatest common factor of 2652/587,3206/5642 = [GCF of 2652,3206]/[LCM of 587,5642]= 2/3311854
Therefore, the GCF of 2652/587,3206/5642 is 2/3311854.
To find the highest common factor of 2652,3206, we have to find the factors of both numbers and list the highest common factor.
The factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652
The factors of 3206 are 1, 2, 7, 14, 229, 458, 1603, 3206
The HCF of 2652,3206 is 2.
Lets's calculate GCF of 2652,3206
| 2 | 2652, 3206 |
| 1326, 1603 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2652,3206 By Matching Biggest Common Factor Method
Now, list down the factors of 2652
:1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652
Now, list down the factors of 3206
:1,2,7,14,229,458,1603,3206
Greatest Common Factor
We found the factors 2652,3206 . The biggest common factor number is the GCF number.
So the greatest common factor 2652,3206 is 2.
Lets's calculate LCM of 587,5642
Given numbers has no common factors except 1. So, there LCM is their product i.e 3311854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3311854
Therefore, the GCF of Fractions 2652/587,3206/5642 is 2/3311854
Least Common Multiple of 587,5642 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 587,5642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,5642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,5642) x common factors =1 x 1 = 1
LCM(587,5642) = ( 587 × 5642 ) / 1
LCM(587,5642) = 3311854 / 1
LCM(587,5642) = 3311854
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FAQs on GCF of Fractions of 2652/587, 3206/5642
1. What is the HCF of 2652,3206?
The HCF of 2652,3206 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 2652/587, 3206/5642?
Answer: GCF of Numerators as per given numbers 2652/587, 3206/5642 is
GCF of Numerators i.e. for 2652,3206 is 2
LCM of denominators i.e. for 587,5642 is 3311854.
Thus, GCF of Fractions is 2/3311854.Finally, GCF of Fractions for 2652/587, 3206/5642 is 2/3311854.