GCF of 1074/207, 9202/8412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1074/207, 9202/8412 i.e 2/580428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1074/207, 9202/8412.
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 1074/207,9202/8412?
Given fractions are 1074/207,9202/8412
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 1074/207,9202/8412, numerators are 1074,9202
Denominators are 207,8412
The GCF of 1074,9202 is 2 .
LCM of 207,8412 is 580428.
The greatest common factor of 1074/207,9202/8412 = [GCF of 1074,9202]/[LCM of 207,8412]= 2/580428
Therefore, the GCF of 1074/207,9202/8412 is 2/580428.
To find the highest common factor of 1074,9202, we have to find the factors of both numbers and list the highest common factor.
The factors of 1074 are 1, 2, 3, 6, 179, 358, 537, 1074
The factors of 9202 are 1, 2, 43, 86, 107, 214, 4601, 9202
The HCF of 1074,9202 is 2.
Lets's calculate GCF of 1074,9202
| 2 | 1074, 9202 |
| 537, 4601 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1074,9202 By Matching Biggest Common Factor Method
Now, list down the factors of 1074
:1,2,3,6,179,358,537,1074
Now, list down the factors of 9202
:1,2,43,86,107,214,4601,9202
Greatest Common Factor
We found the factors 1074,9202 . The biggest common factor number is the GCF number.
So the greatest common factor 1074,9202 is 2.
Lets's calculate LCM of 207,8412
| 3 | 207, 8412 |
| 69, 2804 |
∴ So the LCM of the given numbers is 3 x 69 x 2804 = 580428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/580428
Therefore, the GCF of Fractions 1074/207,9202/8412 is 2/580428
Least Common Multiple of 207,8412 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 207,8412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,8412) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(207,8412) x common factors =3 x 1 = 3
LCM(207,8412) = ( 207 × 8412 ) / 3
LCM(207,8412) = 1741284 / 3
LCM(207,8412) = 580428
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FAQs on GCF of Fractions of 1074/207, 9202/8412
1. What is the HCF of 1074,9202?
The HCF of 1074,9202 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 1074/207, 9202/8412?
Answer: GCF of Numerators as per given numbers 1074/207, 9202/8412 is
GCF of Numerators i.e. for 1074,9202 is 2
LCM of denominators i.e. for 207,8412 is 580428.
Thus, GCF of Fractions is 2/580428.Finally, GCF of Fractions for 1074/207, 9202/8412 is 2/580428.