GCF of 693/262, 4375/9394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 693/262, 4375/9394 i.e 7/1230614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/262, 4375/9394.
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 693/262,4375/9394?
Given fractions are 693/262,4375/9394
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 693/262,4375/9394, numerators are 693,4375
Denominators are 262,9394
The GCF of 693,4375 is 7 .
LCM of 262,9394 is 1230614.
The greatest common factor of 693/262,4375/9394 = [GCF of 693,4375]/[LCM of 262,9394]= 7/1230614
Therefore, the GCF of 693/262,4375/9394 is 7/1230614.
To find the highest common factor of 693,4375, we have to find the factors of both numbers and list the highest common factor.
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The factors of 4375 are 1, 5, 7, 25, 35, 125, 175, 625, 875, 4375
The HCF of 693,4375 is 7.
Lets's calculate GCF of 693,4375
| 7 | 693, 4375 |
| 99, 625 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 693,4375 By Matching Biggest Common Factor Method
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Now, list down the factors of 4375
:1,5,7,25,35,125,175,625,875,4375
Greatest Common Factor
We found the factors 693,4375 . The biggest common factor number is the GCF number.
So the greatest common factor 693,4375 is 7.
Lets's calculate LCM of 262,9394
| 2 | 262, 9394 |
| 131, 4697 |
∴ So the LCM of the given numbers is 2 x 131 x 4697 = 1230614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1230614
Therefore, the GCF of Fractions 693/262,4375/9394 is 7/1230614
Least Common Multiple of 262,9394 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 262,9394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,9394) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,9394) x common factors =2 x 1 = 2
LCM(262,9394) = ( 262 × 9394 ) / 2
LCM(262,9394) = 2461228 / 2
LCM(262,9394) = 1230614
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FAQs on GCF of Fractions of 693/262, 4375/9394
1. What is the HCF of 693,4375?
The HCF of 693,4375 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 693/262, 4375/9394?
Answer: GCF of Numerators as per given numbers 693/262, 4375/9394 is
GCF of Numerators i.e. for 693,4375 is 7
LCM of denominators i.e. for 262,9394 is 1230614.
Thus, GCF of Fractions is 7/1230614.Finally, GCF of Fractions for 693/262, 4375/9394 is 7/1230614.