GCF of 7124/670, 3240/7745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7124/670, 3240/7745 i.e 4/1037830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7124/670, 3240/7745.
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 7124/670,3240/7745?
Given fractions are 7124/670,3240/7745
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 7124/670,3240/7745, numerators are 7124,3240
Denominators are 670,7745
The GCF of 7124,3240 is 4 .
LCM of 670,7745 is 1037830.
The greatest common factor of 7124/670,3240/7745 = [GCF of 7124,3240]/[LCM of 670,7745]= 4/1037830
Therefore, the GCF of 7124/670,3240/7745 is 4/1037830.
To find the highest common factor of 7124,3240, we have to find the factors of both numbers and list the highest common factor.
The factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124
The factors of 3240 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620, 3240
The HCF of 7124,3240 is 4.
Lets's calculate GCF of 7124,3240
| 2 | 7124, 3240 |
| 2 | 3562, 1620 |
| 1781, 810 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7124,3240 By Matching Biggest Common Factor Method
Now, list down the factors of 7124
:1,2,4,13,26,52,137,274,548,1781,3562,7124
Now, list down the factors of 3240
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,270,324,360,405,540,648,810,1080,1620,3240
Greatest Common Factor
We found the factors 7124,3240 . The biggest common factor number is the GCF number.
So the greatest common factor 7124,3240 is 4.
Lets's calculate LCM of 670,7745
| 5 | 670, 7745 |
| 134, 1549 |
∴ So the LCM of the given numbers is 5 x 134 x 1549 = 1037830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1037830
Therefore, the GCF of Fractions 7124/670,3240/7745 is 4/1037830
Least Common Multiple of 670,7745 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 670,7745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,7745) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(670,7745) x common factors =5 x 1 = 5
LCM(670,7745) = ( 670 × 7745 ) / 5
LCM(670,7745) = 5189150 / 5
LCM(670,7745) = 1037830
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FAQs on GCF of Fractions of 7124/670, 3240/7745
1. What is the HCF of 7124,3240?
The HCF of 7124,3240 is 4
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 7124/670, 3240/7745?
Answer: GCF of Numerators as per given numbers 7124/670, 3240/7745 is
GCF of Numerators i.e. for 7124,3240 is 4
LCM of denominators i.e. for 670,7745 is 1037830.
Thus, GCF of Fractions is 4/1037830.Finally, GCF of Fractions for 7124/670, 3240/7745 is 4/1037830.