GCF of 7607/519, 7647/243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7607/519, 7647/243 i.e 1/42039 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7607/519, 7647/243.
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 7607/519,7647/243?
Given fractions are 7607/519,7647/243
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 7607/519,7647/243, numerators are 7607,7647
Denominators are 519,243
The GCF of 7607,7647 is 1 .
LCM of 519,243 is 42039.
The greatest common factor of 7607/519,7647/243 = [GCF of 7607,7647]/[LCM of 519,243]= 1/42039
Therefore, the GCF of 7607/519,7647/243 is 1/42039.
To find the highest common factor of 7607,7647, we have to find the factors of both numbers and list the highest common factor.
The factors of 7607 are 1, 7607
The factors of 7647 are 1, 3, 2549, 7647
The HCF of 7607,7647 is 1.
Lets's calculate GCF of 7607,7647
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7607,7647 By Matching Biggest Common Factor Method
Now, list down the factors of 7607
:1,7607
Now, list down the factors of 7647
:1,3,2549,7647
Greatest Common Factor
We found the factors 7607,7647 . The biggest common factor number is the GCF number.
So the greatest common factor 7607,7647 is 1.
Lets's calculate LCM of 519,243
| 3 | 519, 243 |
| 173, 81 |
∴ So the LCM of the given numbers is 3 x 173 x 81 = 42039
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42039
Therefore, the GCF of Fractions 7607/519,7647/243 is 1/42039
Least Common Multiple of 519,243 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 519,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,243) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,243) x common factors =3 x 1 = 3
LCM(519,243) = ( 519 × 243 ) / 3
LCM(519,243) = 126117 / 3
LCM(519,243) = 42039
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FAQs on GCF of Fractions of 7607/519, 7647/243
1. What is the HCF of 7607,7647?
The HCF of 7607,7647 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 7607/519, 7647/243?
Answer: GCF of Numerators as per given numbers 7607/519, 7647/243 is
GCF of Numerators i.e. for 7607,7647 is 1
LCM of denominators i.e. for 519,243 is 42039.
Thus, GCF of Fractions is 1/42039.Finally, GCF of Fractions for 7607/519, 7647/243 is 1/42039.