GCF of 775/508, 385/734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 775/508, 385/734 i.e 5/186436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 775/508, 385/734.
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 775/508,385/734?
Given fractions are 775/508,385/734
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 775/508,385/734, numerators are 775,385
Denominators are 508,734
The GCF of 775,385 is 5 .
LCM of 508,734 is 186436.
The greatest common factor of 775/508,385/734 = [GCF of 775,385]/[LCM of 508,734]= 5/186436
Therefore, the GCF of 775/508,385/734 is 5/186436.
To find the highest common factor of 775,385, we have to find the factors of both numbers and list the highest common factor.
The factors of 775 are 1, 5, 25, 31, 155, 775
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 775,385 is 5.
Lets's calculate GCF of 775,385
| 5 | 775, 385 |
| 155, 77 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 775,385 By Matching Biggest Common Factor Method
Now, list down the factors of 775
:1,5,25,31,155,775
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 775,385 . The biggest common factor number is the GCF number.
So the greatest common factor 775,385 is 5.
Lets's calculate LCM of 508,734
| 2 | 508, 734 |
| 254, 367 |
∴ So the LCM of the given numbers is 2 x 254 x 367 = 186436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/186436
Therefore, the GCF of Fractions 775/508,385/734 is 5/186436
Least Common Multiple of 508,734 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 508,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(508,734) x common factors =2 x 1 = 2
LCM(508,734) = ( 508 × 734 ) / 2
LCM(508,734) = 372872 / 2
LCM(508,734) = 186436
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FAQs on GCF of Fractions of 775/508, 385/734
1. What is the HCF of 775,385?
The HCF of 775,385 is 5
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 775/508, 385/734?
Answer: GCF of Numerators as per given numbers 775/508, 385/734 is
GCF of Numerators i.e. for 775,385 is 5
LCM of denominators i.e. for 508,734 is 186436.
Thus, GCF of Fractions is 5/186436.Finally, GCF of Fractions for 775/508, 385/734 is 5/186436.