GCF of 7670/648, 3745/6741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7670/648, 3745/6741 i.e 5/485352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7670/648, 3745/6741.
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 7670/648,3745/6741?
Given fractions are 7670/648,3745/6741
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 7670/648,3745/6741, numerators are 7670,3745
Denominators are 648,6741
The GCF of 7670,3745 is 5 .
LCM of 648,6741 is 485352.
The greatest common factor of 7670/648,3745/6741 = [GCF of 7670,3745]/[LCM of 648,6741]= 5/485352
Therefore, the GCF of 7670/648,3745/6741 is 5/485352.
To find the highest common factor of 7670,3745, we have to find the factors of both numbers and list the highest common factor.
The factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670
The factors of 3745 are 1, 5, 7, 35, 107, 535, 749, 3745
The HCF of 7670,3745 is 5.
Lets's calculate GCF of 7670,3745
| 5 | 7670, 3745 |
| 1534, 749 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7670,3745 By Matching Biggest Common Factor Method
Now, list down the factors of 7670
:1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670
Now, list down the factors of 3745
:1,5,7,35,107,535,749,3745
Greatest Common Factor
We found the factors 7670,3745 . The biggest common factor number is the GCF number.
So the greatest common factor 7670,3745 is 5.
Lets's calculate LCM of 648,6741
| 3 | 648, 6741 |
| 3 | 216, 2247 |
| 72, 749 |
∴ So the LCM of the given numbers is 3 x 3 x 72 x 749 = 485352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/485352
Therefore, the GCF of Fractions 7670/648,3745/6741 is 5/485352
Least Common Multiple of 648,6741 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 648,6741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,6741) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(648,6741) x common factors =9 x 1 = 9
LCM(648,6741) = ( 648 × 6741 ) / 9
LCM(648,6741) = 4368168 / 9
LCM(648,6741) = 485352
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FAQs on GCF of Fractions of 7670/648, 3745/6741
1. What is the HCF of 7670,3745?
The HCF of 7670,3745 is 5
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 7670/648, 3745/6741?
Answer: GCF of Numerators as per given numbers 7670/648, 3745/6741 is
GCF of Numerators i.e. for 7670,3745 is 5
LCM of denominators i.e. for 648,6741 is 485352.
Thus, GCF of Fractions is 5/485352.Finally, GCF of Fractions for 7670/648, 3745/6741 is 5/485352.