GCF of 4928/684, 8266/236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4928/684, 8266/236 i.e 2/40356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4928/684, 8266/236.
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 4928/684,8266/236?
Given fractions are 4928/684,8266/236
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 4928/684,8266/236, numerators are 4928,8266
Denominators are 684,236
The GCF of 4928,8266 is 2 .
LCM of 684,236 is 40356.
The greatest common factor of 4928/684,8266/236 = [GCF of 4928,8266]/[LCM of 684,236]= 2/40356
Therefore, the GCF of 4928/684,8266/236 is 2/40356.
To find the highest common factor of 4928,8266, we have to find the factors of both numbers and list the highest common factor.
The factors of 4928 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928
The factors of 8266 are 1, 2, 4133, 8266
The HCF of 4928,8266 is 2.
Lets's calculate GCF of 4928,8266
| 2 | 4928, 8266 |
| 2464, 4133 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4928,8266 By Matching Biggest Common Factor Method
Now, list down the factors of 4928
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,154,176,224,308,352,448,616,704,1232,2464,4928
Now, list down the factors of 8266
:1,2,4133,8266
Greatest Common Factor
We found the factors 4928,8266 . The biggest common factor number is the GCF number.
So the greatest common factor 4928,8266 is 2.
Lets's calculate LCM of 684,236
| 2 | 684, 236 |
| 2 | 342, 118 |
| 171, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 171 x 59 = 40356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40356
Therefore, the GCF of Fractions 4928/684,8266/236 is 2/40356
Least Common Multiple of 684,236 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 684,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,236) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(684,236) x common factors =4 x 1 = 4
LCM(684,236) = ( 684 × 236 ) / 4
LCM(684,236) = 161424 / 4
LCM(684,236) = 40356
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FAQs on GCF of Fractions of 4928/684, 8266/236
1. What is the HCF of 4928,8266?
The HCF of 4928,8266 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 4928/684, 8266/236?
Answer: GCF of Numerators as per given numbers 4928/684, 8266/236 is
GCF of Numerators i.e. for 4928,8266 is 2
LCM of denominators i.e. for 684,236 is 40356.
Thus, GCF of Fractions is 2/40356.Finally, GCF of Fractions for 4928/684, 8266/236 is 2/40356.