GCF of 1528/758, 6938/5694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1528/758, 6938/5694 i.e 2/2158026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1528/758, 6938/5694.
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 1528/758,6938/5694?
Given fractions are 1528/758,6938/5694
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 1528/758,6938/5694, numerators are 1528,6938
Denominators are 758,5694
The GCF of 1528,6938 is 2 .
LCM of 758,5694 is 2158026.
The greatest common factor of 1528/758,6938/5694 = [GCF of 1528,6938]/[LCM of 758,5694]= 2/2158026
Therefore, the GCF of 1528/758,6938/5694 is 2/2158026.
To find the highest common factor of 1528,6938, we have to find the factors of both numbers and list the highest common factor.
The factors of 1528 are 1, 2, 4, 8, 191, 382, 764, 1528
The factors of 6938 are 1, 2, 3469, 6938
The HCF of 1528,6938 is 2.
Lets's calculate GCF of 1528,6938
| 2 | 1528, 6938 |
| 764, 3469 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1528,6938 By Matching Biggest Common Factor Method
Now, list down the factors of 1528
:1,2,4,8,191,382,764,1528
Now, list down the factors of 6938
:1,2,3469,6938
Greatest Common Factor
We found the factors 1528,6938 . The biggest common factor number is the GCF number.
So the greatest common factor 1528,6938 is 2.
Lets's calculate LCM of 758,5694
| 2 | 758, 5694 |
| 379, 2847 |
∴ So the LCM of the given numbers is 2 x 379 x 2847 = 2158026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2158026
Therefore, the GCF of Fractions 1528/758,6938/5694 is 2/2158026
Least Common Multiple of 758,5694 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 758,5694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,5694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,5694) x common factors =2 x 1 = 2
LCM(758,5694) = ( 758 × 5694 ) / 2
LCM(758,5694) = 4316052 / 2
LCM(758,5694) = 2158026
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FAQs on GCF of Fractions of 1528/758, 6938/5694
1. What is the HCF of 1528,6938?
The HCF of 1528,6938 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 1528/758, 6938/5694?
Answer: GCF of Numerators as per given numbers 1528/758, 6938/5694 is
GCF of Numerators i.e. for 1528,6938 is 2
LCM of denominators i.e. for 758,5694 is 2158026.
Thus, GCF of Fractions is 2/2158026.Finally, GCF of Fractions for 1528/758, 6938/5694 is 2/2158026.