GCF of 4795/828, 8424/8444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4795/828, 8424/8444 i.e 1/1747908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4795/828, 8424/8444.
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 4795/828,8424/8444?
Given fractions are 4795/828,8424/8444
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 4795/828,8424/8444, numerators are 4795,8424
Denominators are 828,8444
The GCF of 4795,8424 is 1 .
LCM of 828,8444 is 1747908.
The greatest common factor of 4795/828,8424/8444 = [GCF of 4795,8424]/[LCM of 828,8444]= 1/1747908
Therefore, the GCF of 4795/828,8424/8444 is 1/1747908.
To find the highest common factor of 4795,8424, we have to find the factors of both numbers and list the highest common factor.
The factors of 4795 are 1, 5, 7, 35, 137, 685, 959, 4795
The factors of 8424 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 312, 324, 351, 468, 648, 702, 936, 1053, 1404, 2106, 2808, 4212, 8424
The HCF of 4795,8424 is 1.
Lets's calculate GCF of 4795,8424
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4795,8424 By Matching Biggest Common Factor Method
Now, list down the factors of 4795
:1,5,7,35,137,685,959,4795
Now, list down the factors of 8424
:1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,81,104,108,117,156,162,216,234,312,324,351,468,648,702,936,1053,1404,2106,2808,4212,8424
Greatest Common Factor
We found the factors 4795,8424 . The biggest common factor number is the GCF number.
So the greatest common factor 4795,8424 is 1.
Lets's calculate LCM of 828,8444
| 2 | 828, 8444 |
| 2 | 414, 4222 |
| 207, 2111 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 2111 = 1747908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1747908
Therefore, the GCF of Fractions 4795/828,8424/8444 is 1/1747908
Least Common Multiple of 828,8444 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 828,8444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,8444) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,8444) x common factors =4 x 1 = 4
LCM(828,8444) = ( 828 × 8444 ) / 4
LCM(828,8444) = 6991632 / 4
LCM(828,8444) = 1747908
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FAQs on GCF of Fractions of 4795/828, 8424/8444
1. What is the HCF of 4795,8424?
The HCF of 4795,8424 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 4795/828, 8424/8444?
Answer: GCF of Numerators as per given numbers 4795/828, 8424/8444 is
GCF of Numerators i.e. for 4795,8424 is 1
LCM of denominators i.e. for 828,8444 is 1747908.
Thus, GCF of Fractions is 1/1747908.Finally, GCF of Fractions for 4795/828, 8424/8444 is 1/1747908.