GCF of 7075/150, 1648/6755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7075/150, 1648/6755 i.e 1/202650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7075/150, 1648/6755.
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 7075/150,1648/6755?
Given fractions are 7075/150,1648/6755
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 7075/150,1648/6755, numerators are 7075,1648
Denominators are 150,6755
The GCF of 7075,1648 is 1 .
LCM of 150,6755 is 202650.
The greatest common factor of 7075/150,1648/6755 = [GCF of 7075,1648]/[LCM of 150,6755]= 1/202650
Therefore, the GCF of 7075/150,1648/6755 is 1/202650.
To find the highest common factor of 7075,1648, we have to find the factors of both numbers and list the highest common factor.
The factors of 7075 are 1, 5, 25, 283, 1415, 7075
The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648
The HCF of 7075,1648 is 1.
Lets's calculate GCF of 7075,1648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7075,1648 By Matching Biggest Common Factor Method
Now, list down the factors of 7075
:1,5,25,283,1415,7075
Now, list down the factors of 1648
:1,2,4,8,16,103,206,412,824,1648
Greatest Common Factor
We found the factors 7075,1648 . The biggest common factor number is the GCF number.
So the greatest common factor 7075,1648 is 1.
Lets's calculate LCM of 150,6755
| 5 | 150, 6755 |
| 30, 1351 |
∴ So the LCM of the given numbers is 5 x 30 x 1351 = 202650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202650
Therefore, the GCF of Fractions 7075/150,1648/6755 is 1/202650
Least Common Multiple of 150,6755 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 150,6755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,6755) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(150,6755) x common factors =5 x 1 = 5
LCM(150,6755) = ( 150 × 6755 ) / 5
LCM(150,6755) = 1013250 / 5
LCM(150,6755) = 202650
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FAQs on GCF of Fractions of 7075/150, 1648/6755
1. What is the HCF of 7075,1648?
The HCF of 7075,1648 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 7075/150, 1648/6755?
Answer: GCF of Numerators as per given numbers 7075/150, 1648/6755 is
GCF of Numerators i.e. for 7075,1648 is 1
LCM of denominators i.e. for 150,6755 is 202650.
Thus, GCF of Fractions is 1/202650.Finally, GCF of Fractions for 7075/150, 1648/6755 is 1/202650.