GCF of 2176/652, 3614/3642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2176/652, 3614/3642 i.e 2/1187292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2176/652, 3614/3642.
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 2176/652,3614/3642?
Given fractions are 2176/652,3614/3642
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 2176/652,3614/3642, numerators are 2176,3614
Denominators are 652,3642
The GCF of 2176,3614 is 2 .
LCM of 652,3642 is 1187292.
The greatest common factor of 2176/652,3614/3642 = [GCF of 2176,3614]/[LCM of 652,3642]= 2/1187292
Therefore, the GCF of 2176/652,3614/3642 is 2/1187292.
To find the highest common factor of 2176,3614, we have to find the factors of both numbers and list the highest common factor.
The factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176
The factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614
The HCF of 2176,3614 is 2.
Lets's calculate GCF of 2176,3614
| 2 | 2176, 3614 |
| 1088, 1807 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2176,3614 By Matching Biggest Common Factor Method
Now, list down the factors of 2176
:1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Now, list down the factors of 3614
:1,2,13,26,139,278,1807,3614
Greatest Common Factor
We found the factors 2176,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 2176,3614 is 2.
Lets's calculate LCM of 652,3642
| 2 | 652, 3642 |
| 326, 1821 |
∴ So the LCM of the given numbers is 2 x 326 x 1821 = 1187292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1187292
Therefore, the GCF of Fractions 2176/652,3614/3642 is 2/1187292
Least Common Multiple of 652,3642 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 652,3642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,3642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,3642) x common factors =2 x 1 = 2
LCM(652,3642) = ( 652 × 3642 ) / 2
LCM(652,3642) = 2374584 / 2
LCM(652,3642) = 1187292
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FAQs on GCF of Fractions of 2176/652, 3614/3642
1. What is the HCF of 2176,3614?
The HCF of 2176,3614 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 2176/652, 3614/3642?
Answer: GCF of Numerators as per given numbers 2176/652, 3614/3642 is
GCF of Numerators i.e. for 2176,3614 is 2
LCM of denominators i.e. for 652,3642 is 1187292.
Thus, GCF of Fractions is 2/1187292.Finally, GCF of Fractions for 2176/652, 3614/3642 is 2/1187292.