GCF of 147/788, 670/270, 304/986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 147/788, 670/270, 304/986 i.e 1/52445340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 147/788, 670/270, 304/986.
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 147/788,670/270,304/986?
Given fractions are 147/788,670/270,304/986
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 147/788,670/270,304/986, numerators are 147,670,304
Denominators are 788,270,986
The GCF of 147,670,304 is 1 .
LCM of 788,270,986 is 52445340.
The greatest common factor of 147/788,670/270,304/986 = [GCF of 147,670,304]/[LCM of 788,270,986]= 1/52445340
Therefore, the GCF of 147/788,670/270,304/986 is 1/52445340.
To find the highest common factor of 147,670,304, we have to find the factors of both numbers and list the highest common factor.
The factors of 147 are 1, 3, 7, 21, 49, 147
The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670
The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
The HCF of 147,670,304 is 1.
Lets's calculate GCF of 147,670,304
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 147,670,304 By Matching Biggest Common Factor Method
Now, list down the factors of 147
:1,3,7,21,49,147
Now, list down the factors of 670
:1,2,5,10,67,134,335,670
Now, list down the factors of 304
:1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 147,670,304 . The biggest common factor number is the GCF number.
So the greatest common factor 147,670,304 is 1.
Lets's calculate LCM of 788,270,986
| 2 | 788, 270, 986 |
| 394, 135, 493 |
∴ So the LCM of the given numbers is 2 x 394 x 135 x 493 = 52445340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52445340
Therefore, the GCF of Fractions 147/788,670/270,304/986 is 1/52445340
Least Common Multiple of 788,270,986 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 788,270,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,270,986) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(788,270,986) x common factors =2 x 2 = 4
LCM(788,270,986) = ( 788 × 270 × 986 ) / 4
LCM(788,270,986) = 209781360 / 4
LCM(788,270,986) = 52445340
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FAQs on GCF of Fractions of 147/788, 670/270, 304/986
1. What is the HCF of 147,670,304?
The HCF of 147,670,304 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 147/788, 670/270, 304/986?
Answer: GCF of Numerators as per given numbers 147/788, 670/270, 304/986 is
GCF of Numerators i.e. for 147,670,304 is 1
LCM of denominators i.e. for 788,270,986 is 52445340.
Thus, GCF of Fractions is 1/52445340.Finally, GCF of Fractions for 147/788, 670/270, 304/986 is 1/52445340.