GCF of 1410/212, 9924/1430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1410/212, 9924/1430 i.e 6/151580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1410/212, 9924/1430.
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 1410/212,9924/1430?
Given fractions are 1410/212,9924/1430
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 1410/212,9924/1430, numerators are 1410,9924
Denominators are 212,1430
The GCF of 1410,9924 is 6 .
LCM of 212,1430 is 151580.
The greatest common factor of 1410/212,9924/1430 = [GCF of 1410,9924]/[LCM of 212,1430]= 6/151580
Therefore, the GCF of 1410/212,9924/1430 is 6/151580.
To find the highest common factor of 1410,9924, we have to find the factors of both numbers and list the highest common factor.
The factors of 1410 are 1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410
The factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924
The HCF of 1410,9924 is 6.
Lets's calculate GCF of 1410,9924
| 2 | 1410, 9924 |
| 3 | 705, 4962 |
| 235, 1654 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1410,9924 By Matching Biggest Common Factor Method
Now, list down the factors of 1410
:1,2,3,5,6,10,15,30,47,94,141,235,282,470,705,1410
Now, list down the factors of 9924
:1,2,3,4,6,12,827,1654,2481,3308,4962,9924
Greatest Common Factor
We found the factors 1410,9924 . The biggest common factor number is the GCF number.
So the greatest common factor 1410,9924 is 6.
Lets's calculate LCM of 212,1430
| 2 | 212, 1430 |
| 106, 715 |
∴ So the LCM of the given numbers is 2 x 106 x 715 = 151580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/151580
Therefore, the GCF of Fractions 1410/212,9924/1430 is 6/151580
Least Common Multiple of 212,1430 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 212,1430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,1430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(212,1430) x common factors =2 x 1 = 2
LCM(212,1430) = ( 212 × 1430 ) / 2
LCM(212,1430) = 303160 / 2
LCM(212,1430) = 151580
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FAQs on GCF of Fractions of 1410/212, 9924/1430
1. What is the HCF of 1410,9924?
The HCF of 1410,9924 is 6
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 1410/212, 9924/1430?
Answer: GCF of Numerators as per given numbers 1410/212, 9924/1430 is
GCF of Numerators i.e. for 1410,9924 is 6
LCM of denominators i.e. for 212,1430 is 151580.
Thus, GCF of Fractions is 6/151580.Finally, GCF of Fractions for 1410/212, 9924/1430 is 6/151580.