GCF of 7612/171, 5638/2166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7612/171, 5638/2166 i.e 2/6498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7612/171, 5638/2166.
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 7612/171,5638/2166?
Given fractions are 7612/171,5638/2166
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 7612/171,5638/2166, numerators are 7612,5638
Denominators are 171,2166
The GCF of 7612,5638 is 2 .
LCM of 171,2166 is 6498.
The greatest common factor of 7612/171,5638/2166 = [GCF of 7612,5638]/[LCM of 171,2166]= 2/6498
Therefore, the GCF of 7612/171,5638/2166 is 2/6498.
To find the highest common factor of 7612,5638, we have to find the factors of both numbers and list the highest common factor.
The factors of 7612 are 1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612
The factors of 5638 are 1, 2, 2819, 5638
The HCF of 7612,5638 is 2.
Lets's calculate GCF of 7612,5638
| 2 | 7612, 5638 |
| 3806, 2819 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7612,5638 By Matching Biggest Common Factor Method
Now, list down the factors of 7612
:1,2,4,11,22,44,173,346,692,1903,3806,7612
Now, list down the factors of 5638
:1,2,2819,5638
Greatest Common Factor
We found the factors 7612,5638 . The biggest common factor number is the GCF number.
So the greatest common factor 7612,5638 is 2.
Lets's calculate LCM of 171,2166
| 3 | 171, 2166 |
| 19 | 57, 722 |
| 3, 38 |
∴ So the LCM of the given numbers is 3 x 19 x 3 x 38 = 6498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6498
Therefore, the GCF of Fractions 7612/171,5638/2166 is 2/6498
Least Common Multiple of 171,2166 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 171,2166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,2166) = 57
common factors(in case of two or more numbers have common factors) = 1
GCF(171,2166) x common factors =57 x 1 = 57
LCM(171,2166) = ( 171 × 2166 ) / 57
LCM(171,2166) = 370386 / 57
LCM(171,2166) = 6498
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FAQs on GCF of Fractions of 7612/171, 5638/2166
1. What is the HCF of 7612,5638?
The HCF of 7612,5638 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 7612/171, 5638/2166?
Answer: GCF of Numerators as per given numbers 7612/171, 5638/2166 is
GCF of Numerators i.e. for 7612,5638 is 2
LCM of denominators i.e. for 171,2166 is 6498.
Thus, GCF of Fractions is 2/6498.Finally, GCF of Fractions for 7612/171, 5638/2166 is 2/6498.