GCF of 34/862, 27/985, 302/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/862, 27/985, 302/914 i.e 1/388024990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/862, 27/985, 302/914.
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 34/862,27/985,302/914?
Given fractions are 34/862,27/985,302/914
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 34/862,27/985,302/914, numerators are 34,27,302
Denominators are 862,985,914
The GCF of 34,27,302 is 1 .
LCM of 862,985,914 is 388024990.
The greatest common factor of 34/862,27/985,302/914 = [GCF of 34,27,302]/[LCM of 862,985,914]= 1/388024990
Therefore, the GCF of 34/862,27/985,302/914 is 1/388024990.
To find the highest common factor of 34,27,302, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 27 are 1, 3, 9, 27
The factors of 302 are 1, 2, 151, 302
The HCF of 34,27,302 is 1.
Lets's calculate GCF of 34,27,302
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,27,302 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 302
:1,2,151,302
Greatest Common Factor
We found the factors 34,27,302 . The biggest common factor number is the GCF number.
So the greatest common factor 34,27,302 is 1.
Lets's calculate LCM of 862,985,914
| 2 | 862, 985, 914 |
| 431, 985, 457 |
∴ So the LCM of the given numbers is 2 x 431 x 985 x 457 = 388024990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388024990
Therefore, the GCF of Fractions 34/862,27/985,302/914 is 1/388024990
Least Common Multiple of 862,985,914 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 862,985,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,985,914) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(862,985,914) x common factors =1 x 2 = 2
LCM(862,985,914) = ( 862 × 985 × 914 ) / 2
LCM(862,985,914) = 776049980 / 2
LCM(862,985,914) = 388024990
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FAQs on GCF of Fractions of 34/862, 27/985, 302/914
1. What is the HCF of 34,27,302?
The HCF of 34,27,302 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 34/862, 27/985, 302/914?
Answer: GCF of Numerators as per given numbers 34/862, 27/985, 302/914 is
GCF of Numerators i.e. for 34,27,302 is 1
LCM of denominators i.e. for 862,985,914 is 388024990.
Thus, GCF of Fractions is 1/388024990.Finally, GCF of Fractions for 34/862, 27/985, 302/914 is 1/388024990.