GCF of 8022/157, 1430/7212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8022/157, 1430/7212 i.e 2/1132284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8022/157, 1430/7212.
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 8022/157,1430/7212?
Given fractions are 8022/157,1430/7212
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 8022/157,1430/7212, numerators are 8022,1430
Denominators are 157,7212
The GCF of 8022,1430 is 2 .
LCM of 157,7212 is 1132284.
The greatest common factor of 8022/157,1430/7212 = [GCF of 8022,1430]/[LCM of 157,7212]= 2/1132284
Therefore, the GCF of 8022/157,1430/7212 is 2/1132284.
To find the highest common factor of 8022,1430, we have to find the factors of both numbers and list the highest common factor.
The factors of 8022 are 1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022
The factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430
The HCF of 8022,1430 is 2.
Lets's calculate GCF of 8022,1430
| 2 | 8022, 1430 |
| 4011, 715 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8022,1430 By Matching Biggest Common Factor Method
Now, list down the factors of 8022
:1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022
Now, list down the factors of 1430
:1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430
Greatest Common Factor
We found the factors 8022,1430 . The biggest common factor number is the GCF number.
So the greatest common factor 8022,1430 is 2.
Lets's calculate LCM of 157,7212
Given numbers has no common factors except 1. So, there LCM is their product i.e 1132284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1132284
Therefore, the GCF of Fractions 8022/157,1430/7212 is 2/1132284
Least Common Multiple of 157,7212 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 157,7212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,7212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,7212) x common factors =1 x 1 = 1
LCM(157,7212) = ( 157 × 7212 ) / 1
LCM(157,7212) = 1132284 / 1
LCM(157,7212) = 1132284
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FAQs on GCF of Fractions of 8022/157, 1430/7212
1. What is the HCF of 8022,1430?
The HCF of 8022,1430 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 8022/157, 1430/7212?
Answer: GCF of Numerators as per given numbers 8022/157, 1430/7212 is
GCF of Numerators i.e. for 8022,1430 is 2
LCM of denominators i.e. for 157,7212 is 1132284.
Thus, GCF of Fractions is 2/1132284.Finally, GCF of Fractions for 8022/157, 1430/7212 is 2/1132284.