GCF of 5168/852, 5307/765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5168/852, 5307/765 i.e 1/217260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5168/852, 5307/765.
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 5168/852,5307/765?
Given fractions are 5168/852,5307/765
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 5168/852,5307/765, numerators are 5168,5307
Denominators are 852,765
The GCF of 5168,5307 is 1 .
LCM of 852,765 is 217260.
The greatest common factor of 5168/852,5307/765 = [GCF of 5168,5307]/[LCM of 852,765]= 1/217260
Therefore, the GCF of 5168/852,5307/765 is 1/217260.
To find the highest common factor of 5168,5307, we have to find the factors of both numbers and list the highest common factor.
The factors of 5168 are 1, 2, 4, 8, 16, 17, 19, 34, 38, 68, 76, 136, 152, 272, 304, 323, 646, 1292, 2584, 5168
The factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307
The HCF of 5168,5307 is 1.
Lets's calculate GCF of 5168,5307
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5168,5307 By Matching Biggest Common Factor Method
Now, list down the factors of 5168
:1,2,4,8,16,17,19,34,38,68,76,136,152,272,304,323,646,1292,2584,5168
Now, list down the factors of 5307
:1,3,29,61,87,183,1769,5307
Greatest Common Factor
We found the factors 5168,5307 . The biggest common factor number is the GCF number.
So the greatest common factor 5168,5307 is 1.
Lets's calculate LCM of 852,765
| 3 | 852, 765 |
| 284, 255 |
∴ So the LCM of the given numbers is 3 x 284 x 255 = 217260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217260
Therefore, the GCF of Fractions 5168/852,5307/765 is 1/217260
Least Common Multiple of 852,765 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 852,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,765) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(852,765) x common factors =3 x 1 = 3
LCM(852,765) = ( 852 × 765 ) / 3
LCM(852,765) = 651780 / 3
LCM(852,765) = 217260
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FAQs on GCF of Fractions of 5168/852, 5307/765
1. What is the HCF of 5168,5307?
The HCF of 5168,5307 is 1
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 5168/852, 5307/765?
Answer: GCF of Numerators as per given numbers 5168/852, 5307/765 is
GCF of Numerators i.e. for 5168,5307 is 1
LCM of denominators i.e. for 852,765 is 217260.
Thus, GCF of Fractions is 1/217260.Finally, GCF of Fractions for 5168/852, 5307/765 is 1/217260.