GCF of 1937/246, 7067/9777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1937/246, 7067/9777 i.e 1/801714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1937/246, 7067/9777.
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 1937/246,7067/9777?
Given fractions are 1937/246,7067/9777
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 1937/246,7067/9777, numerators are 1937,7067
Denominators are 246,9777
The GCF of 1937,7067 is 1 .
LCM of 246,9777 is 801714.
The greatest common factor of 1937/246,7067/9777 = [GCF of 1937,7067]/[LCM of 246,9777]= 1/801714
Therefore, the GCF of 1937/246,7067/9777 is 1/801714.
To find the highest common factor of 1937,7067, we have to find the factors of both numbers and list the highest common factor.
The factors of 1937 are 1, 13, 149, 1937
The factors of 7067 are 1, 37, 191, 7067
The HCF of 1937,7067 is 1.
Lets's calculate GCF of 1937,7067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1937,7067 By Matching Biggest Common Factor Method
Now, list down the factors of 1937
:1,13,149,1937
Now, list down the factors of 7067
:1,37,191,7067
Greatest Common Factor
We found the factors 1937,7067 . The biggest common factor number is the GCF number.
So the greatest common factor 1937,7067 is 1.
Lets's calculate LCM of 246,9777
| 3 | 246, 9777 |
| 82, 3259 |
∴ So the LCM of the given numbers is 3 x 82 x 3259 = 801714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/801714
Therefore, the GCF of Fractions 1937/246,7067/9777 is 1/801714
Least Common Multiple of 246,9777 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 246,9777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,9777) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(246,9777) x common factors =3 x 1 = 3
LCM(246,9777) = ( 246 × 9777 ) / 3
LCM(246,9777) = 2405142 / 3
LCM(246,9777) = 801714
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FAQs on GCF of Fractions of 1937/246, 7067/9777
1. What is the HCF of 1937,7067?
The HCF of 1937,7067 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 1937/246, 7067/9777?
Answer: GCF of Numerators as per given numbers 1937/246, 7067/9777 is
GCF of Numerators i.e. for 1937,7067 is 1
LCM of denominators i.e. for 246,9777 is 801714.
Thus, GCF of Fractions is 1/801714.Finally, GCF of Fractions for 1937/246, 7067/9777 is 1/801714.