GCF of 955/28, 382/734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 955/28, 382/734 i.e 191/10276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 955/28, 382/734.
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 955/28,382/734?
Given fractions are 955/28,382/734
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 955/28,382/734, numerators are 955,382
Denominators are 28,734
The GCF of 955,382 is 191 .
LCM of 28,734 is 10276.
The greatest common factor of 955/28,382/734 = [GCF of 955,382]/[LCM of 28,734]= 191/10276
Therefore, the GCF of 955/28,382/734 is 191/10276.
To find the highest common factor of 955,382, we have to find the factors of both numbers and list the highest common factor.
The factors of 955 are 1, 5, 191, 955
The factors of 382 are 1, 2, 191, 382
The HCF of 955,382 is 191.
Lets's calculate GCF of 955,382
| 191 | 955, 382 |
| 5, 2 |
∴ So the GCF of the given numbers is 191 = 191
Greatest Common Factor of 955,382 By Matching Biggest Common Factor Method
Now, list down the factors of 955
:1,5,191,955
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 955,382 . The biggest common factor number is the GCF number.
So the greatest common factor 955,382 is 191.
Lets's calculate LCM of 28,734
| 2 | 28, 734 |
| 14, 367 |
∴ So the LCM of the given numbers is 2 x 14 x 367 = 10276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 191/10276
Therefore, the GCF of Fractions 955/28,382/734 is 191/10276
Least Common Multiple of 28,734 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 28,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(28,734) x common factors =2 x 1 = 2
LCM(28,734) = ( 28 × 734 ) / 2
LCM(28,734) = 20552 / 2
LCM(28,734) = 10276
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FAQs on GCF of Fractions of 955/28, 382/734
1. What is the HCF of 955,382?
The HCF of 955,382 is 191
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 955/28, 382/734?
Answer: GCF of Numerators as per given numbers 955/28, 382/734 is
GCF of Numerators i.e. for 955,382 is 191
LCM of denominators i.e. for 28,734 is 10276.
Thus, GCF of Fractions is 191/10276.Finally, GCF of Fractions for 955/28, 382/734 is 191/10276.