GCF of 1648/308, 8567/8418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1648/308, 8567/8418 i.e 1/1296372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1648/308, 8567/8418.
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 1648/308,8567/8418?
Given fractions are 1648/308,8567/8418
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 1648/308,8567/8418, numerators are 1648,8567
Denominators are 308,8418
The GCF of 1648,8567 is 1 .
LCM of 308,8418 is 1296372.
The greatest common factor of 1648/308,8567/8418 = [GCF of 1648,8567]/[LCM of 308,8418]= 1/1296372
Therefore, the GCF of 1648/308,8567/8418 is 1/1296372.
To find the highest common factor of 1648,8567, we have to find the factors of both numbers and list the highest common factor.
The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648
The factors of 8567 are 1, 13, 659, 8567
The HCF of 1648,8567 is 1.
Lets's calculate GCF of 1648,8567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1648,8567 By Matching Biggest Common Factor Method
Now, list down the factors of 1648
:1,2,4,8,16,103,206,412,824,1648
Now, list down the factors of 8567
:1,13,659,8567
Greatest Common Factor
We found the factors 1648,8567 . The biggest common factor number is the GCF number.
So the greatest common factor 1648,8567 is 1.
Lets's calculate LCM of 308,8418
| 2 | 308, 8418 |
| 154, 4209 |
∴ So the LCM of the given numbers is 2 x 154 x 4209 = 1296372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1296372
Therefore, the GCF of Fractions 1648/308,8567/8418 is 1/1296372
Least Common Multiple of 308,8418 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 308,8418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,8418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(308,8418) x common factors =2 x 1 = 2
LCM(308,8418) = ( 308 × 8418 ) / 2
LCM(308,8418) = 2592744 / 2
LCM(308,8418) = 1296372
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FAQs on GCF of Fractions of 1648/308, 8567/8418
1. What is the HCF of 1648,8567?
The HCF of 1648,8567 is 1
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 1648/308, 8567/8418?
Answer: GCF of Numerators as per given numbers 1648/308, 8567/8418 is
GCF of Numerators i.e. for 1648,8567 is 1
LCM of denominators i.e. for 308,8418 is 1296372.
Thus, GCF of Fractions is 1/1296372.Finally, GCF of Fractions for 1648/308, 8567/8418 is 1/1296372.