GCF of 147/90, 882/670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 147/90, 882/670 i.e 147/6030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 147/90, 882/670.
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 147/90,882/670?
Given fractions are 147/90,882/670
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 147/90,882/670, numerators are 147,882
Denominators are 90,670
The GCF of 147,882 is 147 .
LCM of 90,670 is 6030.
The greatest common factor of 147/90,882/670 = [GCF of 147,882]/[LCM of 90,670]= 147/6030
Therefore, the GCF of 147/90,882/670 is 147/6030.
To find the highest common factor of 147,882, 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 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
The HCF of 147,882 is 147.
Lets's calculate GCF of 147,882
| 3 | 147, 882 |
| 7 | 49, 294 |
| 7 | 7, 42 |
| 1, 6 |
∴ So the GCF of the given numbers is 3 x 7 x 7 = 147
Greatest Common Factor of 147,882 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 882
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 147,882 . The biggest common factor number is the GCF number.
So the greatest common factor 147,882 is 147.
Lets's calculate LCM of 90,670
| 2 | 90, 670 |
| 5 | 45, 335 |
| 9, 67 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 67 = 6030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 147/6030
Therefore, the GCF of Fractions 147/90,882/670 is 147/6030
Least Common Multiple of 90,670 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 90,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,670) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(90,670) x common factors =10 x 1 = 10
LCM(90,670) = ( 90 × 670 ) / 10
LCM(90,670) = 60300 / 10
LCM(90,670) = 6030
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FAQs on GCF of Fractions of 147/90, 882/670
1. What is the HCF of 147,882?
The HCF of 147,882 is 147
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 147/90, 882/670?
Answer: GCF of Numerators as per given numbers 147/90, 882/670 is
GCF of Numerators i.e. for 147,882 is 147
LCM of denominators i.e. for 90,670 is 6030.
Thus, GCF of Fractions is 147/6030.Finally, GCF of Fractions for 147/90, 882/670 is 147/6030.