GCF of 7735/951, 3176/5721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7735/951, 3176/5721 i.e 1/1813557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7735/951, 3176/5721.
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 7735/951,3176/5721?
Given fractions are 7735/951,3176/5721
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 7735/951,3176/5721, numerators are 7735,3176
Denominators are 951,5721
The GCF of 7735,3176 is 1 .
LCM of 951,5721 is 1813557.
The greatest common factor of 7735/951,3176/5721 = [GCF of 7735,3176]/[LCM of 951,5721]= 1/1813557
Therefore, the GCF of 7735/951,3176/5721 is 1/1813557.
To find the highest common factor of 7735,3176, we have to find the factors of both numbers and list the highest common factor.
The factors of 7735 are 1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735
The factors of 3176 are 1, 2, 4, 8, 397, 794, 1588, 3176
The HCF of 7735,3176 is 1.
Lets's calculate GCF of 7735,3176
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7735,3176 By Matching Biggest Common Factor Method
Now, list down the factors of 7735
:1,5,7,13,17,35,65,85,91,119,221,455,595,1105,1547,7735
Now, list down the factors of 3176
:1,2,4,8,397,794,1588,3176
Greatest Common Factor
We found the factors 7735,3176 . The biggest common factor number is the GCF number.
So the greatest common factor 7735,3176 is 1.
Lets's calculate LCM of 951,5721
| 3 | 951, 5721 |
| 317, 1907 |
∴ So the LCM of the given numbers is 3 x 317 x 1907 = 1813557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1813557
Therefore, the GCF of Fractions 7735/951,3176/5721 is 1/1813557
Least Common Multiple of 951,5721 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 951,5721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,5721) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(951,5721) x common factors =3 x 1 = 3
LCM(951,5721) = ( 951 × 5721 ) / 3
LCM(951,5721) = 5440671 / 3
LCM(951,5721) = 1813557
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FAQs on GCF of Fractions of 7735/951, 3176/5721
1. What is the HCF of 7735,3176?
The HCF of 7735,3176 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 7735/951, 3176/5721?
Answer: GCF of Numerators as per given numbers 7735/951, 3176/5721 is
GCF of Numerators i.e. for 7735,3176 is 1
LCM of denominators i.e. for 951,5721 is 1813557.
Thus, GCF of Fractions is 1/1813557.Finally, GCF of Fractions for 7735/951, 3176/5721 is 1/1813557.