GCF of 901/295, 782/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 901/295, 782/360 i.e 17/21240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 901/295, 782/360.
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 901/295,782/360?
Given fractions are 901/295,782/360
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 901/295,782/360, numerators are 901,782
Denominators are 295,360
The GCF of 901,782 is 17 .
LCM of 295,360 is 21240.
The greatest common factor of 901/295,782/360 = [GCF of 901,782]/[LCM of 295,360]= 17/21240
Therefore, the GCF of 901/295,782/360 is 17/21240.
To find the highest common factor of 901,782, we have to find the factors of both numbers and list the highest common factor.
The factors of 901 are 1, 17, 53, 901
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 901,782 is 17.
Lets's calculate GCF of 901,782
| 17 | 901, 782 |
| 53, 46 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 901,782 By Matching Biggest Common Factor Method
Now, list down the factors of 901
:1,17,53,901
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 901,782 . The biggest common factor number is the GCF number.
So the greatest common factor 901,782 is 17.
Lets's calculate LCM of 295,360
| 5 | 295, 360 |
| 59, 72 |
∴ So the LCM of the given numbers is 5 x 59 x 72 = 21240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/21240
Therefore, the GCF of Fractions 901/295,782/360 is 17/21240
Least Common Multiple of 295,360 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 295,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,360) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(295,360) x common factors =5 x 1 = 5
LCM(295,360) = ( 295 × 360 ) / 5
LCM(295,360) = 106200 / 5
LCM(295,360) = 21240
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FAQs on GCF of Fractions of 901/295, 782/360
1. What is the HCF of 901,782?
The HCF of 901,782 is 17
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 901/295, 782/360?
Answer: GCF of Numerators as per given numbers 901/295, 782/360 is
GCF of Numerators i.e. for 901,782 is 17
LCM of denominators i.e. for 295,360 is 21240.
Thus, GCF of Fractions is 17/21240.Finally, GCF of Fractions for 901/295, 782/360 is 17/21240.