GCF of 8012/212, 1410/848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8012/212, 1410/848 i.e 2/848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8012/212, 1410/848.
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 8012/212,1410/848?
Given fractions are 8012/212,1410/848
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 8012/212,1410/848, numerators are 8012,1410
Denominators are 212,848
The GCF of 8012,1410 is 2 .
LCM of 212,848 is 848.
The greatest common factor of 8012/212,1410/848 = [GCF of 8012,1410]/[LCM of 212,848]= 2/848
Therefore, the GCF of 8012/212,1410/848 is 2/848.
To find the highest common factor of 8012,1410, we have to find the factors of both numbers and list the highest common factor.
The factors of 8012 are 1, 2, 4, 2003, 4006, 8012
The factors of 1410 are 1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410
The HCF of 8012,1410 is 2.
Lets's calculate GCF of 8012,1410
| 2 | 8012, 1410 |
| 4006, 705 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8012,1410 By Matching Biggest Common Factor Method
Now, list down the factors of 8012
:1,2,4,2003,4006,8012
Now, list down the factors of 1410
:1,2,3,5,6,10,15,30,47,94,141,235,282,470,705,1410
Greatest Common Factor
We found the factors 8012,1410 . The biggest common factor number is the GCF number.
So the greatest common factor 8012,1410 is 2.
Lets's calculate LCM of 212,848
| 2 | 212, 848 |
| 2 | 106, 424 |
| 53 | 53, 212 |
| 1, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 1 x 4 = 848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/848
Therefore, the GCF of Fractions 8012/212,1410/848 is 2/848
Least Common Multiple of 212,848 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 212,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,848) = 212
common factors(in case of two or more numbers have common factors) = 1
GCF(212,848) x common factors =212 x 1 = 212
LCM(212,848) = ( 212 × 848 ) / 212
LCM(212,848) = 179776 / 212
LCM(212,848) = 848
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FAQs on GCF of Fractions of 8012/212, 1410/848
1. What is the HCF of 8012,1410?
The HCF of 8012,1410 is 2
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 8012/212, 1410/848?
Answer: GCF of Numerators as per given numbers 8012/212, 1410/848 is
GCF of Numerators i.e. for 8012,1410 is 2
LCM of denominators i.e. for 212,848 is 848.
Thus, GCF of Fractions is 2/848.Finally, GCF of Fractions for 8012/212, 1410/848 is 2/848.