GCF of 36/58, 911/42, 391/985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/58, 911/42, 391/985 i.e 1/1199730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/58, 911/42, 391/985.
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 36/58,911/42,391/985?
Given fractions are 36/58,911/42,391/985
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 36/58,911/42,391/985, numerators are 36,911,391
Denominators are 58,42,985
The GCF of 36,911,391 is 1 .
LCM of 58,42,985 is 1199730.
The greatest common factor of 36/58,911/42,391/985 = [GCF of 36,911,391]/[LCM of 58,42,985]= 1/1199730
Therefore, the GCF of 36/58,911/42,391/985 is 1/1199730.
To find the highest common factor of 36,911,391, 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 911 are 1, 911
The factors of 391 are 1, 17, 23, 391
The HCF of 36,911,391 is 1.
Lets's calculate GCF of 36,911,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,911,391 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 911
:1,911
Now, list down the factors of 391
:1,17,23,391
Greatest Common Factor
We found the factors 36,911,391 . The biggest common factor number is the GCF number.
So the greatest common factor 36,911,391 is 1.
Lets's calculate LCM of 58,42,985
| 2 | 58, 42, 985 |
| 29, 21, 985 |
∴ So the LCM of the given numbers is 2 x 29 x 21 x 985 = 1199730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1199730
Therefore, the GCF of Fractions 36/58,911/42,391/985 is 1/1199730
Least Common Multiple of 58,42,985 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 58,42,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,42,985) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,42,985) x common factors =1 x 2 = 2
LCM(58,42,985) = ( 58 × 42 × 985 ) / 2
LCM(58,42,985) = 2399460 / 2
LCM(58,42,985) = 1199730
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FAQs on GCF of Fractions of 36/58, 911/42, 391/985
1. What is the HCF of 36,911,391?
The HCF of 36,911,391 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 36/58, 911/42, 391/985?
Answer: GCF of Numerators as per given numbers 36/58, 911/42, 391/985 is
GCF of Numerators i.e. for 36,911,391 is 1
LCM of denominators i.e. for 58,42,985 is 1199730.
Thus, GCF of Fractions is 1/1199730.Finally, GCF of Fractions for 36/58, 911/42, 391/985 is 1/1199730.