GCF of 6423/696, 7730/238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6423/696, 7730/238 i.e 1/82824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6423/696, 7730/238.
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 6423/696,7730/238?
Given fractions are 6423/696,7730/238
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 6423/696,7730/238, numerators are 6423,7730
Denominators are 696,238
The GCF of 6423,7730 is 1 .
LCM of 696,238 is 82824.
The greatest common factor of 6423/696,7730/238 = [GCF of 6423,7730]/[LCM of 696,238]= 1/82824
Therefore, the GCF of 6423/696,7730/238 is 1/82824.
To find the highest common factor of 6423,7730, we have to find the factors of both numbers and list the highest common factor.
The factors of 6423 are 1, 3, 2141, 6423
The factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730
The HCF of 6423,7730 is 1.
Lets's calculate GCF of 6423,7730
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6423,7730 By Matching Biggest Common Factor Method
Now, list down the factors of 6423
:1,3,2141,6423
Now, list down the factors of 7730
:1,2,5,10,773,1546,3865,7730
Greatest Common Factor
We found the factors 6423,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 6423,7730 is 1.
Lets's calculate LCM of 696,238
| 2 | 696, 238 |
| 348, 119 |
∴ So the LCM of the given numbers is 2 x 348 x 119 = 82824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82824
Therefore, the GCF of Fractions 6423/696,7730/238 is 1/82824
Least Common Multiple of 696,238 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 696,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,238) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(696,238) x common factors =2 x 1 = 2
LCM(696,238) = ( 696 × 238 ) / 2
LCM(696,238) = 165648 / 2
LCM(696,238) = 82824
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FAQs on GCF of Fractions of 6423/696, 7730/238
1. What is the HCF of 6423,7730?
The HCF of 6423,7730 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 6423/696, 7730/238?
Answer: GCF of Numerators as per given numbers 6423/696, 7730/238 is
GCF of Numerators i.e. for 6423,7730 is 1
LCM of denominators i.e. for 696,238 is 82824.
Thus, GCF of Fractions is 1/82824.Finally, GCF of Fractions for 6423/696, 7730/238 is 1/82824.