GCF of 388/28, 758/6764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 388/28, 758/6764 i.e 2/47348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/28, 758/6764.
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 388/28,758/6764?
Given fractions are 388/28,758/6764
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 388/28,758/6764, numerators are 388,758
Denominators are 28,6764
The GCF of 388,758 is 2 .
LCM of 28,6764 is 47348.
The greatest common factor of 388/28,758/6764 = [GCF of 388,758]/[LCM of 28,6764]= 2/47348
Therefore, the GCF of 388/28,758/6764 is 2/47348.
To find the highest common factor of 388,758, we have to find the factors of both numbers and list the highest common factor.
The factors of 388 are 1, 2, 4, 97, 194, 388
The factors of 758 are 1, 2, 379, 758
The HCF of 388,758 is 2.
Lets's calculate GCF of 388,758
| 2 | 388, 758 |
| 194, 379 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 388,758 By Matching Biggest Common Factor Method
Now, list down the factors of 388
:1,2,4,97,194,388
Now, list down the factors of 758
:1,2,379,758
Greatest Common Factor
We found the factors 388,758 . The biggest common factor number is the GCF number.
So the greatest common factor 388,758 is 2.
Lets's calculate LCM of 28,6764
| 2 | 28, 6764 |
| 2 | 14, 3382 |
| 7, 1691 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1691 = 47348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47348
Therefore, the GCF of Fractions 388/28,758/6764 is 2/47348
Least Common Multiple of 28,6764 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 28,6764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,6764) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(28,6764) x common factors =4 x 1 = 4
LCM(28,6764) = ( 28 × 6764 ) / 4
LCM(28,6764) = 189392 / 4
LCM(28,6764) = 47348
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FAQs on GCF of Fractions of 388/28, 758/6764
1. What is the HCF of 388,758?
The HCF of 388,758 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 388/28, 758/6764?
Answer: GCF of Numerators as per given numbers 388/28, 758/6764 is
GCF of Numerators i.e. for 388,758 is 2
LCM of denominators i.e. for 28,6764 is 47348.
Thus, GCF of Fractions is 2/47348.Finally, GCF of Fractions for 388/28, 758/6764 is 2/47348.