GCF of 149/802, 566/452, 768/986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 149/802, 566/452, 768/986 i.e 1/89357236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 149/802, 566/452, 768/986.
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 149/802,566/452,768/986?
Given fractions are 149/802,566/452,768/986
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 149/802,566/452,768/986, numerators are 149,566,768
Denominators are 802,452,986
The GCF of 149,566,768 is 1 .
LCM of 802,452,986 is 89357236.
The greatest common factor of 149/802,566/452,768/986 = [GCF of 149,566,768]/[LCM of 802,452,986]= 1/89357236
Therefore, the GCF of 149/802,566/452,768/986 is 1/89357236.
To find the highest common factor of 149,566,768, we have to find the factors of both numbers and list the highest common factor.
The factors of 149 are 1, 149
The factors of 566 are 1, 2, 283, 566
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The HCF of 149,566,768 is 1.
Lets's calculate GCF of 149,566,768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 149,566,768 By Matching Biggest Common Factor Method
Now, list down the factors of 149
:1,149
Now, list down the factors of 566
:1,2,283,566
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 149,566,768 . The biggest common factor number is the GCF number.
So the greatest common factor 149,566,768 is 1.
Lets's calculate LCM of 802,452,986
| 2 | 802, 452, 986 |
| 401, 226, 493 |
∴ So the LCM of the given numbers is 2 x 401 x 226 x 493 = 89357236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89357236
Therefore, the GCF of Fractions 149/802,566/452,768/986 is 1/89357236
Least Common Multiple of 802,452,986 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 802,452,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,452,986) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(802,452,986) x common factors =2 x 2 = 4
LCM(802,452,986) = ( 802 × 452 × 986 ) / 4
LCM(802,452,986) = 357428944 / 4
LCM(802,452,986) = 89357236
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 149/802, 566/452, 768/986
1. What is the HCF of 149,566,768?
The HCF of 149,566,768 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 149/802, 566/452, 768/986?
Answer: GCF of Numerators as per given numbers 149/802, 566/452, 768/986 is
GCF of Numerators i.e. for 149,566,768 is 1
LCM of denominators i.e. for 802,452,986 is 89357236.
Thus, GCF of Fractions is 1/89357236.Finally, GCF of Fractions for 149/802, 566/452, 768/986 is 1/89357236.