GCF of 8052/292, 8356/711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8052/292, 8356/711 i.e 4/207612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8052/292, 8356/711.
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 8052/292,8356/711?
Given fractions are 8052/292,8356/711
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 8052/292,8356/711, numerators are 8052,8356
Denominators are 292,711
The GCF of 8052,8356 is 4 .
LCM of 292,711 is 207612.
The greatest common factor of 8052/292,8356/711 = [GCF of 8052,8356]/[LCM of 292,711]= 4/207612
Therefore, the GCF of 8052/292,8356/711 is 4/207612.
To find the highest common factor of 8052,8356, we have to find the factors of both numbers and list the highest common factor.
The factors of 8052 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052
The factors of 8356 are 1, 2, 4, 2089, 4178, 8356
The HCF of 8052,8356 is 4.
Lets's calculate GCF of 8052,8356
| 2 | 8052, 8356 |
| 2 | 4026, 4178 |
| 2013, 2089 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8052,8356 By Matching Biggest Common Factor Method
Now, list down the factors of 8052
:1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052
Now, list down the factors of 8356
:1,2,4,2089,4178,8356
Greatest Common Factor
We found the factors 8052,8356 . The biggest common factor number is the GCF number.
So the greatest common factor 8052,8356 is 4.
Lets's calculate LCM of 292,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 207612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/207612
Therefore, the GCF of Fractions 8052/292,8356/711 is 4/207612
Least Common Multiple of 292,711 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 292,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,711) x common factors =1 x 1 = 1
LCM(292,711) = ( 292 × 711 ) / 1
LCM(292,711) = 207612 / 1
LCM(292,711) = 207612
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FAQs on GCF of Fractions of 8052/292, 8356/711
1. What is the HCF of 8052,8356?
The HCF of 8052,8356 is 4
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 8052/292, 8356/711?
Answer: GCF of Numerators as per given numbers 8052/292, 8356/711 is
GCF of Numerators i.e. for 8052,8356 is 4
LCM of denominators i.e. for 292,711 is 207612.
Thus, GCF of Fractions is 4/207612.Finally, GCF of Fractions for 8052/292, 8356/711 is 4/207612.