GCF of 5016/645, 3872/2114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5016/645, 3872/2114 i.e 88/1363530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5016/645, 3872/2114.
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 5016/645,3872/2114?
Given fractions are 5016/645,3872/2114
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 5016/645,3872/2114, numerators are 5016,3872
Denominators are 645,2114
The GCF of 5016,3872 is 88 .
LCM of 645,2114 is 1363530.
The greatest common factor of 5016/645,3872/2114 = [GCF of 5016,3872]/[LCM of 645,2114]= 88/1363530
Therefore, the GCF of 5016/645,3872/2114 is 88/1363530.
To find the highest common factor of 5016,3872, we have to find the factors of both numbers and list the highest common factor.
The factors of 5016 are 1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 418, 456, 627, 836, 1254, 1672, 2508, 5016
The factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872
The HCF of 5016,3872 is 88.
Lets's calculate GCF of 5016,3872
| 2 | 5016, 3872 |
| 2 | 2508, 1936 |
| 2 | 1254, 968 |
| 11 | 627, 484 |
| 57, 44 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 11 = 88
Greatest Common Factor of 5016,3872 By Matching Biggest Common Factor Method
Now, list down the factors of 5016
:1,2,3,4,6,8,11,12,19,22,24,33,38,44,57,66,76,88,114,132,152,209,228,264,418,456,627,836,1254,1672,2508,5016
Now, list down the factors of 3872
:1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872
Greatest Common Factor
We found the factors 5016,3872 . The biggest common factor number is the GCF number.
So the greatest common factor 5016,3872 is 88.
Lets's calculate LCM of 645,2114
Given numbers has no common factors except 1. So, there LCM is their product i.e 1363530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 88/1363530
Therefore, the GCF of Fractions 5016/645,3872/2114 is 88/1363530
Least Common Multiple of 645,2114 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 645,2114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,2114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(645,2114) x common factors =1 x 1 = 1
LCM(645,2114) = ( 645 × 2114 ) / 1
LCM(645,2114) = 1363530 / 1
LCM(645,2114) = 1363530
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FAQs on GCF of Fractions of 5016/645, 3872/2114
1. What is the HCF of 5016,3872?
The HCF of 5016,3872 is 88
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 5016/645, 3872/2114?
Answer: GCF of Numerators as per given numbers 5016/645, 3872/2114 is
GCF of Numerators i.e. for 5016,3872 is 88
LCM of denominators i.e. for 645,2114 is 1363530.
Thus, GCF of Fractions is 88/1363530.Finally, GCF of Fractions for 5016/645, 3872/2114 is 88/1363530.