GCF of 7847/123, 7693/2678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7847/123, 7693/2678 i.e 7/329394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7847/123, 7693/2678.
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 7847/123,7693/2678?
Given fractions are 7847/123,7693/2678
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 7847/123,7693/2678, numerators are 7847,7693
Denominators are 123,2678
The GCF of 7847,7693 is 7 .
LCM of 123,2678 is 329394.
The greatest common factor of 7847/123,7693/2678 = [GCF of 7847,7693]/[LCM of 123,2678]= 7/329394
Therefore, the GCF of 7847/123,7693/2678 is 7/329394.
To find the highest common factor of 7847,7693, we have to find the factors of both numbers and list the highest common factor.
The factors of 7847 are 1, 7, 19, 59, 133, 413, 1121, 7847
The factors of 7693 are 1, 7, 49, 157, 1099, 7693
The HCF of 7847,7693 is 7.
Lets's calculate GCF of 7847,7693
| 7 | 7847, 7693 |
| 1121, 1099 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7847,7693 By Matching Biggest Common Factor Method
Now, list down the factors of 7847
:1,7,19,59,133,413,1121,7847
Now, list down the factors of 7693
:1,7,49,157,1099,7693
Greatest Common Factor
We found the factors 7847,7693 . The biggest common factor number is the GCF number.
So the greatest common factor 7847,7693 is 7.
Lets's calculate LCM of 123,2678
Given numbers has no common factors except 1. So, there LCM is their product i.e 329394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/329394
Therefore, the GCF of Fractions 7847/123,7693/2678 is 7/329394
Least Common Multiple of 123,2678 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 123,2678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,2678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,2678) x common factors =1 x 1 = 1
LCM(123,2678) = ( 123 × 2678 ) / 1
LCM(123,2678) = 329394 / 1
LCM(123,2678) = 329394
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FAQs on GCF of Fractions of 7847/123, 7693/2678
1. What is the HCF of 7847,7693?
The HCF of 7847,7693 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 7847/123, 7693/2678?
Answer: GCF of Numerators as per given numbers 7847/123, 7693/2678 is
GCF of Numerators i.e. for 7847,7693 is 7
LCM of denominators i.e. for 123,2678 is 329394.
Thus, GCF of Fractions is 7/329394.Finally, GCF of Fractions for 7847/123, 7693/2678 is 7/329394.