GCF of 36/35, 808/94, 885/235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/35, 808/94, 885/235 i.e 1/3290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/35, 808/94, 885/235.
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 36/35,808/94,885/235?
Given fractions are 36/35,808/94,885/235
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 36/35,808/94,885/235, numerators are 36,808,885
Denominators are 35,94,235
The GCF of 36,808,885 is 1 .
LCM of 35,94,235 is 3290.
The greatest common factor of 36/35,808/94,885/235 = [GCF of 36,808,885]/[LCM of 35,94,235]= 1/3290
Therefore, the GCF of 36/35,808/94,885/235 is 1/3290.
To find the highest common factor of 36,808,885, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885
The HCF of 36,808,885 is 1.
Lets's calculate GCF of 36,808,885
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,808,885 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Now, list down the factors of 885
:1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 36,808,885 . The biggest common factor number is the GCF number.
So the greatest common factor 36,808,885 is 1.
Lets's calculate LCM of 35,94,235
| 5 | 35, 94, 235 |
| 47 | 7, 94, 47 |
| 7, 2, 1 |
∴ So the LCM of the given numbers is 5 x 47 x 7 x 2 x 1 = 3290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3290
Therefore, the GCF of Fractions 36/35,808/94,885/235 is 1/3290
Least Common Multiple of 35,94,235 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 35,94,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,94,235) = 1
common factors(in case of two or more numbers have common factors) = 235
GCF(35,94,235) x common factors =1 x 235 = 235
LCM(35,94,235) = ( 35 × 94 × 235 ) / 235
LCM(35,94,235) = 773150 / 235
LCM(35,94,235) = 3290
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FAQs on GCF of Fractions of 36/35, 808/94, 885/235
1. What is the HCF of 36,808,885?
The HCF of 36,808,885 is 1
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 36/35, 808/94, 885/235?
Answer: GCF of Numerators as per given numbers 36/35, 808/94, 885/235 is
GCF of Numerators i.e. for 36,808,885 is 1
LCM of denominators i.e. for 35,94,235 is 3290.
Thus, GCF of Fractions is 1/3290.Finally, GCF of Fractions for 36/35, 808/94, 885/235 is 1/3290.