GCF of 7739/507, 1855/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7739/507, 1855/222 i.e 1/37518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7739/507, 1855/222.
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 7739/507,1855/222?
Given fractions are 7739/507,1855/222
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 7739/507,1855/222, numerators are 7739,1855
Denominators are 507,222
The GCF of 7739,1855 is 1 .
LCM of 507,222 is 37518.
The greatest common factor of 7739/507,1855/222 = [GCF of 7739,1855]/[LCM of 507,222]= 1/37518
Therefore, the GCF of 7739/507,1855/222 is 1/37518.
To find the highest common factor of 7739,1855, we have to find the factors of both numbers and list the highest common factor.
The factors of 7739 are 1, 71, 109, 7739
The factors of 1855 are 1, 5, 7, 35, 53, 265, 371, 1855
The HCF of 7739,1855 is 1.
Lets's calculate GCF of 7739,1855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7739,1855 By Matching Biggest Common Factor Method
Now, list down the factors of 7739
:1,71,109,7739
Now, list down the factors of 1855
:1,5,7,35,53,265,371,1855
Greatest Common Factor
We found the factors 7739,1855 . The biggest common factor number is the GCF number.
So the greatest common factor 7739,1855 is 1.
Lets's calculate LCM of 507,222
| 3 | 507, 222 |
| 169, 74 |
∴ So the LCM of the given numbers is 3 x 169 x 74 = 37518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37518
Therefore, the GCF of Fractions 7739/507,1855/222 is 1/37518
Least Common Multiple of 507,222 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 507,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,222) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,222) x common factors =3 x 1 = 3
LCM(507,222) = ( 507 × 222 ) / 3
LCM(507,222) = 112554 / 3
LCM(507,222) = 37518
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FAQs on GCF of Fractions of 7739/507, 1855/222
1. What is the HCF of 7739,1855?
The HCF of 7739,1855 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 7739/507, 1855/222?
Answer: GCF of Numerators as per given numbers 7739/507, 1855/222 is
GCF of Numerators i.e. for 7739,1855 is 1
LCM of denominators i.e. for 507,222 is 37518.
Thus, GCF of Fractions is 1/37518.Finally, GCF of Fractions for 7739/507, 1855/222 is 1/37518.