GCF of 3654/135, 6923/7448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3654/135, 6923/7448 i.e 7/1005480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3654/135, 6923/7448.
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 3654/135,6923/7448?
Given fractions are 3654/135,6923/7448
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 3654/135,6923/7448, numerators are 3654,6923
Denominators are 135,7448
The GCF of 3654,6923 is 7 .
LCM of 135,7448 is 1005480.
The greatest common factor of 3654/135,6923/7448 = [GCF of 3654,6923]/[LCM of 135,7448]= 7/1005480
Therefore, the GCF of 3654/135,6923/7448 is 7/1005480.
To find the highest common factor of 3654,6923, we have to find the factors of both numbers and list the highest common factor.
The factors of 3654 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654
The factors of 6923 are 1, 7, 23, 43, 161, 301, 989, 6923
The HCF of 3654,6923 is 7.
Lets's calculate GCF of 3654,6923
| 7 | 3654, 6923 |
| 522, 989 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3654,6923 By Matching Biggest Common Factor Method
Now, list down the factors of 3654
:1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654
Now, list down the factors of 6923
:1,7,23,43,161,301,989,6923
Greatest Common Factor
We found the factors 3654,6923 . The biggest common factor number is the GCF number.
So the greatest common factor 3654,6923 is 7.
Lets's calculate LCM of 135,7448
Given numbers has no common factors except 1. So, there LCM is their product i.e 1005480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1005480
Therefore, the GCF of Fractions 3654/135,6923/7448 is 7/1005480
Least Common Multiple of 135,7448 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 135,7448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,7448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,7448) x common factors =1 x 1 = 1
LCM(135,7448) = ( 135 × 7448 ) / 1
LCM(135,7448) = 1005480 / 1
LCM(135,7448) = 1005480
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FAQs on GCF of Fractions of 3654/135, 6923/7448
1. What is the HCF of 3654,6923?
The HCF of 3654,6923 is 7
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 3654/135, 6923/7448?
Answer: GCF of Numerators as per given numbers 3654/135, 6923/7448 is
GCF of Numerators i.e. for 3654,6923 is 7
LCM of denominators i.e. for 135,7448 is 1005480.
Thus, GCF of Fractions is 7/1005480.Finally, GCF of Fractions for 3654/135, 6923/7448 is 7/1005480.