GCF of 747/194, 4048/3936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 747/194, 4048/3936 i.e 1/381792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/194, 4048/3936.
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 747/194,4048/3936?
Given fractions are 747/194,4048/3936
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 747/194,4048/3936, numerators are 747,4048
Denominators are 194,3936
The GCF of 747,4048 is 1 .
LCM of 194,3936 is 381792.
The greatest common factor of 747/194,4048/3936 = [GCF of 747,4048]/[LCM of 194,3936]= 1/381792
Therefore, the GCF of 747/194,4048/3936 is 1/381792.
To find the highest common factor of 747,4048, we have to find the factors of both numbers and list the highest common factor.
The factors of 747 are 1, 3, 9, 83, 249, 747
The factors of 4048 are 1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048
The HCF of 747,4048 is 1.
Lets's calculate GCF of 747,4048
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 747,4048 By Matching Biggest Common Factor Method
Now, list down the factors of 747
:1,3,9,83,249,747
Now, list down the factors of 4048
:1,2,4,8,11,16,22,23,44,46,88,92,176,184,253,368,506,1012,2024,4048
Greatest Common Factor
We found the factors 747,4048 . The biggest common factor number is the GCF number.
So the greatest common factor 747,4048 is 1.
Lets's calculate LCM of 194,3936
| 2 | 194, 3936 |
| 97, 1968 |
∴ So the LCM of the given numbers is 2 x 97 x 1968 = 381792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381792
Therefore, the GCF of Fractions 747/194,4048/3936 is 1/381792
Least Common Multiple of 194,3936 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 194,3936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,3936) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,3936) x common factors =2 x 1 = 2
LCM(194,3936) = ( 194 × 3936 ) / 2
LCM(194,3936) = 763584 / 2
LCM(194,3936) = 381792
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FAQs on GCF of Fractions of 747/194, 4048/3936
1. What is the HCF of 747,4048?
The HCF of 747,4048 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 747/194, 4048/3936?
Answer: GCF of Numerators as per given numbers 747/194, 4048/3936 is
GCF of Numerators i.e. for 747,4048 is 1
LCM of denominators i.e. for 194,3936 is 381792.
Thus, GCF of Fractions is 1/381792.Finally, GCF of Fractions for 747/194, 4048/3936 is 1/381792.