GCF of 7020/221, 6252/854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7020/221, 6252/854 i.e 12/188734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7020/221, 6252/854.
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 7020/221,6252/854?
Given fractions are 7020/221,6252/854
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 7020/221,6252/854, numerators are 7020,6252
Denominators are 221,854
The GCF of 7020,6252 is 12 .
LCM of 221,854 is 188734.
The greatest common factor of 7020/221,6252/854 = [GCF of 7020,6252]/[LCM of 221,854]= 12/188734
Therefore, the GCF of 7020/221,6252/854 is 12/188734.
To find the highest common factor of 7020,6252, we have to find the factors of both numbers and list the highest common factor.
The factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020
The factors of 6252 are 1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252
The HCF of 7020,6252 is 12.
Lets's calculate GCF of 7020,6252
| 2 | 7020, 6252 |
| 2 | 3510, 3126 |
| 3 | 1755, 1563 |
| 585, 521 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7020,6252 By Matching Biggest Common Factor Method
Now, list down the factors of 7020
:1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020
Now, list down the factors of 6252
:1,2,3,4,6,12,521,1042,1563,2084,3126,6252
Greatest Common Factor
We found the factors 7020,6252 . The biggest common factor number is the GCF number.
So the greatest common factor 7020,6252 is 12.
Lets's calculate LCM of 221,854
Given numbers has no common factors except 1. So, there LCM is their product i.e 188734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/188734
Therefore, the GCF of Fractions 7020/221,6252/854 is 12/188734
Least Common Multiple of 221,854 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 221,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,854) x common factors =1 x 1 = 1
LCM(221,854) = ( 221 × 854 ) / 1
LCM(221,854) = 188734 / 1
LCM(221,854) = 188734
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FAQs on GCF of Fractions of 7020/221, 6252/854
1. What is the HCF of 7020,6252?
The HCF of 7020,6252 is 12
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 7020/221, 6252/854?
Answer: GCF of Numerators as per given numbers 7020/221, 6252/854 is
GCF of Numerators i.e. for 7020,6252 is 12
LCM of denominators i.e. for 221,854 is 188734.
Thus, GCF of Fractions is 12/188734.Finally, GCF of Fractions for 7020/221, 6252/854 is 12/188734.