GCF of 3841/693, 6702/385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3841/693, 6702/385 i.e 1/3465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3841/693, 6702/385.
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 3841/693,6702/385?
Given fractions are 3841/693,6702/385
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 3841/693,6702/385, numerators are 3841,6702
Denominators are 693,385
The GCF of 3841,6702 is 1 .
LCM of 693,385 is 3465.
The greatest common factor of 3841/693,6702/385 = [GCF of 3841,6702]/[LCM of 693,385]= 1/3465
Therefore, the GCF of 3841/693,6702/385 is 1/3465.
To find the highest common factor of 3841,6702, we have to find the factors of both numbers and list the highest common factor.
The factors of 3841 are 1, 23, 167, 3841
The factors of 6702 are 1, 2, 3, 6, 1117, 2234, 3351, 6702
The HCF of 3841,6702 is 1.
Lets's calculate GCF of 3841,6702
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3841,6702 By Matching Biggest Common Factor Method
Now, list down the factors of 3841
:1,23,167,3841
Now, list down the factors of 6702
:1,2,3,6,1117,2234,3351,6702
Greatest Common Factor
We found the factors 3841,6702 . The biggest common factor number is the GCF number.
So the greatest common factor 3841,6702 is 1.
Lets's calculate LCM of 693,385
| 7 | 693, 385 |
| 11 | 99, 55 |
| 9, 5 |
∴ So the LCM of the given numbers is 7 x 11 x 9 x 5 = 3465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3465
Therefore, the GCF of Fractions 3841/693,6702/385 is 1/3465
Least Common Multiple of 693,385 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 693,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,385) = 77
common factors(in case of two or more numbers have common factors) = 1
GCF(693,385) x common factors =77 x 1 = 77
LCM(693,385) = ( 693 × 385 ) / 77
LCM(693,385) = 266805 / 77
LCM(693,385) = 3465
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FAQs on GCF of Fractions of 3841/693, 6702/385
1. What is the HCF of 3841,6702?
The HCF of 3841,6702 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 3841/693, 6702/385?
Answer: GCF of Numerators as per given numbers 3841/693, 6702/385 is
GCF of Numerators i.e. for 3841,6702 is 1
LCM of denominators i.e. for 693,385 is 3465.
Thus, GCF of Fractions is 1/3465.Finally, GCF of Fractions for 3841/693, 6702/385 is 1/3465.