GCF of 1206/808, 7814/158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1206/808, 7814/158 i.e 2/63832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1206/808, 7814/158.
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 1206/808,7814/158?
Given fractions are 1206/808,7814/158
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 1206/808,7814/158, numerators are 1206,7814
Denominators are 808,158
The GCF of 1206,7814 is 2 .
LCM of 808,158 is 63832.
The greatest common factor of 1206/808,7814/158 = [GCF of 1206,7814]/[LCM of 808,158]= 2/63832
Therefore, the GCF of 1206/808,7814/158 is 2/63832.
To find the highest common factor of 1206,7814, we have to find the factors of both numbers and list the highest common factor.
The factors of 1206 are 1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206
The factors of 7814 are 1, 2, 3907, 7814
The HCF of 1206,7814 is 2.
Lets's calculate GCF of 1206,7814
| 2 | 1206, 7814 |
| 603, 3907 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1206,7814 By Matching Biggest Common Factor Method
Now, list down the factors of 1206
:1,2,3,6,9,18,67,134,201,402,603,1206
Now, list down the factors of 7814
:1,2,3907,7814
Greatest Common Factor
We found the factors 1206,7814 . The biggest common factor number is the GCF number.
So the greatest common factor 1206,7814 is 2.
Lets's calculate LCM of 808,158
| 2 | 808, 158 |
| 404, 79 |
∴ So the LCM of the given numbers is 2 x 404 x 79 = 63832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63832
Therefore, the GCF of Fractions 1206/808,7814/158 is 2/63832
Least Common Multiple of 808,158 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 808,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(808,158) x common factors =2 x 1 = 2
LCM(808,158) = ( 808 × 158 ) / 2
LCM(808,158) = 127664 / 2
LCM(808,158) = 63832
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FAQs on GCF of Fractions of 1206/808, 7814/158
1. What is the HCF of 1206,7814?
The HCF of 1206,7814 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 1206/808, 7814/158?
Answer: GCF of Numerators as per given numbers 1206/808, 7814/158 is
GCF of Numerators i.e. for 1206,7814 is 2
LCM of denominators i.e. for 808,158 is 63832.
Thus, GCF of Fractions is 2/63832.Finally, GCF of Fractions for 1206/808, 7814/158 is 2/63832.