GCF of 1664/245, 6007/7050
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1664/245, 6007/7050 i.e 1/345450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1664/245, 6007/7050.
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 1664/245,6007/7050?
Given fractions are 1664/245,6007/7050
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 1664/245,6007/7050, numerators are 1664,6007
Denominators are 245,7050
The GCF of 1664,6007 is 1 .
LCM of 245,7050 is 345450.
The greatest common factor of 1664/245,6007/7050 = [GCF of 1664,6007]/[LCM of 245,7050]= 1/345450
Therefore, the GCF of 1664/245,6007/7050 is 1/345450.
To find the highest common factor of 1664,6007, we have to find the factors of both numbers and list the highest common factor.
The factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664
The factors of 6007 are 1, 6007
The HCF of 1664,6007 is 1.
Lets's calculate GCF of 1664,6007
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1664,6007 By Matching Biggest Common Factor Method
Now, list down the factors of 1664
:1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664
Now, list down the factors of 6007
:1,6007
Greatest Common Factor
We found the factors 1664,6007 . The biggest common factor number is the GCF number.
So the greatest common factor 1664,6007 is 1.
Lets's calculate LCM of 245,7050
| 5 | 245, 7050 |
| 49, 1410 |
∴ So the LCM of the given numbers is 5 x 49 x 1410 = 345450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/345450
Therefore, the GCF of Fractions 1664/245,6007/7050 is 1/345450
Least Common Multiple of 245,7050 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 245,7050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,7050) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(245,7050) x common factors =5 x 1 = 5
LCM(245,7050) = ( 245 × 7050 ) / 5
LCM(245,7050) = 1727250 / 5
LCM(245,7050) = 345450
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1664/245, 6007/7050
1. What is the HCF of 1664,6007?
The HCF of 1664,6007 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 1664/245, 6007/7050?
Answer: GCF of Numerators as per given numbers 1664/245, 6007/7050 is
GCF of Numerators i.e. for 1664,6007 is 1
LCM of denominators i.e. for 245,7050 is 345450.
Thus, GCF of Fractions is 1/345450.Finally, GCF of Fractions for 1664/245, 6007/7050 is 1/345450.