GCF of 4759/374, 8208/5728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4759/374, 8208/5728 i.e 1/1071136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4759/374, 8208/5728.
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 4759/374,8208/5728?
Given fractions are 4759/374,8208/5728
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 4759/374,8208/5728, numerators are 4759,8208
Denominators are 374,5728
The GCF of 4759,8208 is 1 .
LCM of 374,5728 is 1071136.
The greatest common factor of 4759/374,8208/5728 = [GCF of 4759,8208]/[LCM of 374,5728]= 1/1071136
Therefore, the GCF of 4759/374,8208/5728 is 1/1071136.
To find the highest common factor of 4759,8208, we have to find the factors of both numbers and list the highest common factor.
The factors of 4759 are 1, 4759
The factors of 8208 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208
The HCF of 4759,8208 is 1.
Lets's calculate GCF of 4759,8208
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4759,8208 By Matching Biggest Common Factor Method
Now, list down the factors of 4759
:1,4759
Now, list down the factors of 8208
:1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208
Greatest Common Factor
We found the factors 4759,8208 . The biggest common factor number is the GCF number.
So the greatest common factor 4759,8208 is 1.
Lets's calculate LCM of 374,5728
| 2 | 374, 5728 |
| 187, 2864 |
∴ So the LCM of the given numbers is 2 x 187 x 2864 = 1071136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1071136
Therefore, the GCF of Fractions 4759/374,8208/5728 is 1/1071136
Least Common Multiple of 374,5728 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 374,5728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,5728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,5728) x common factors =2 x 1 = 2
LCM(374,5728) = ( 374 × 5728 ) / 2
LCM(374,5728) = 2142272 / 2
LCM(374,5728) = 1071136
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FAQs on GCF of Fractions of 4759/374, 8208/5728
1. What is the HCF of 4759,8208?
The HCF of 4759,8208 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 4759/374, 8208/5728?
Answer: GCF of Numerators as per given numbers 4759/374, 8208/5728 is
GCF of Numerators i.e. for 4759,8208 is 1
LCM of denominators i.e. for 374,5728 is 1071136.
Thus, GCF of Fractions is 1/1071136.Finally, GCF of Fractions for 4759/374, 8208/5728 is 1/1071136.