GCF of 846/12, 270/7970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 846/12, 270/7970 i.e 18/47820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 846/12, 270/7970.
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 846/12,270/7970?
Given fractions are 846/12,270/7970
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 846/12,270/7970, numerators are 846,270
Denominators are 12,7970
The GCF of 846,270 is 18 .
LCM of 12,7970 is 47820.
The greatest common factor of 846/12,270/7970 = [GCF of 846,270]/[LCM of 12,7970]= 18/47820
Therefore, the GCF of 846/12,270/7970 is 18/47820.
To find the highest common factor of 846,270, we have to find the factors of both numbers and list the highest common factor.
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The HCF of 846,270 is 18.
Lets's calculate GCF of 846,270
| 2 | 846, 270 |
| 3 | 423, 135 |
| 3 | 141, 45 |
| 47, 15 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 846,270 By Matching Biggest Common Factor Method
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 846,270 . The biggest common factor number is the GCF number.
So the greatest common factor 846,270 is 18.
Lets's calculate LCM of 12,7970
| 2 | 12, 7970 |
| 6, 3985 |
∴ So the LCM of the given numbers is 2 x 6 x 3985 = 47820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/47820
Therefore, the GCF of Fractions 846/12,270/7970 is 18/47820
Least Common Multiple of 12,7970 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 12,7970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,7970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(12,7970) x common factors =2 x 1 = 2
LCM(12,7970) = ( 12 × 7970 ) / 2
LCM(12,7970) = 95640 / 2
LCM(12,7970) = 47820
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FAQs on GCF of Fractions of 846/12, 270/7970
1. What is the HCF of 846,270?
The HCF of 846,270 is 18
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 846/12, 270/7970?
Answer: GCF of Numerators as per given numbers 846/12, 270/7970 is
GCF of Numerators i.e. for 846,270 is 18
LCM of denominators i.e. for 12,7970 is 47820.
Thus, GCF of Fractions is 18/47820.Finally, GCF of Fractions for 846/12, 270/7970 is 18/47820.