GCF of 2162/932, 8556/5518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2162/932, 8556/5518 i.e 46/2571388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2162/932, 8556/5518.
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 2162/932,8556/5518?
Given fractions are 2162/932,8556/5518
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 2162/932,8556/5518, numerators are 2162,8556
Denominators are 932,5518
The GCF of 2162,8556 is 46 .
LCM of 932,5518 is 2571388.
The greatest common factor of 2162/932,8556/5518 = [GCF of 2162,8556]/[LCM of 932,5518]= 46/2571388
Therefore, the GCF of 2162/932,8556/5518 is 46/2571388.
To find the highest common factor of 2162,8556, we have to find the factors of both numbers and list the highest common factor.
The factors of 2162 are 1, 2, 23, 46, 47, 94, 1081, 2162
The factors of 8556 are 1, 2, 3, 4, 6, 12, 23, 31, 46, 62, 69, 92, 93, 124, 138, 186, 276, 372, 713, 1426, 2139, 2852, 4278, 8556
The HCF of 2162,8556 is 46.
Lets's calculate GCF of 2162,8556
| 2 | 2162, 8556 |
| 23 | 1081, 4278 |
| 47, 186 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 2162,8556 By Matching Biggest Common Factor Method
Now, list down the factors of 2162
:1,2,23,46,47,94,1081,2162
Now, list down the factors of 8556
:1,2,3,4,6,12,23,31,46,62,69,92,93,124,138,186,276,372,713,1426,2139,2852,4278,8556
Greatest Common Factor
We found the factors 2162,8556 . The biggest common factor number is the GCF number.
So the greatest common factor 2162,8556 is 46.
Lets's calculate LCM of 932,5518
| 2 | 932, 5518 |
| 466, 2759 |
∴ So the LCM of the given numbers is 2 x 466 x 2759 = 2571388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/2571388
Therefore, the GCF of Fractions 2162/932,8556/5518 is 46/2571388
Least Common Multiple of 932,5518 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 932,5518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,5518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,5518) x common factors =2 x 1 = 2
LCM(932,5518) = ( 932 × 5518 ) / 2
LCM(932,5518) = 5142776 / 2
LCM(932,5518) = 2571388
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FAQs on GCF of Fractions of 2162/932, 8556/5518
1. What is the HCF of 2162,8556?
The HCF of 2162,8556 is 46
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 2162/932, 8556/5518?
Answer: GCF of Numerators as per given numbers 2162/932, 8556/5518 is
GCF of Numerators i.e. for 2162,8556 is 46
LCM of denominators i.e. for 932,5518 is 2571388.
Thus, GCF of Fractions is 46/2571388.Finally, GCF of Fractions for 2162/932, 8556/5518 is 46/2571388.