GCF of 67/507, 7169/1428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 67/507, 7169/1428 i.e 67/241332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/507, 7169/1428.
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 67/507,7169/1428?
Given fractions are 67/507,7169/1428
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 67/507,7169/1428, numerators are 67,7169
Denominators are 507,1428
The GCF of 67,7169 is 67 .
LCM of 507,1428 is 241332.
The greatest common factor of 67/507,7169/1428 = [GCF of 67,7169]/[LCM of 507,1428]= 67/241332
Therefore, the GCF of 67/507,7169/1428 is 67/241332.
To find the highest common factor of 67,7169, we have to find the factors of both numbers and list the highest common factor.
The factors of 67 are 1, 67
The factors of 7169 are 1, 67, 107, 7169
The HCF of 67,7169 is 67.
Lets's calculate GCF of 67,7169
| 67 | 67, 7169 |
| 1, 107 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 67,7169 By Matching Biggest Common Factor Method
Now, list down the factors of 67
:1,67
Now, list down the factors of 7169
:1,67,107,7169
Greatest Common Factor
We found the factors 67,7169 . The biggest common factor number is the GCF number.
So the greatest common factor 67,7169 is 67.
Lets's calculate LCM of 507,1428
| 3 | 507, 1428 |
| 169, 476 |
∴ So the LCM of the given numbers is 3 x 169 x 476 = 241332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/241332
Therefore, the GCF of Fractions 67/507,7169/1428 is 67/241332
Least Common Multiple of 507,1428 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 507,1428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,1428) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,1428) x common factors =3 x 1 = 3
LCM(507,1428) = ( 507 × 1428 ) / 3
LCM(507,1428) = 723996 / 3
LCM(507,1428) = 241332
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FAQs on GCF of Fractions of 67/507, 7169/1428
1. What is the HCF of 67,7169?
The HCF of 67,7169 is 67
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 67/507, 7169/1428?
Answer: GCF of Numerators as per given numbers 67/507, 7169/1428 is
GCF of Numerators i.e. for 67,7169 is 67
LCM of denominators i.e. for 507,1428 is 241332.
Thus, GCF of Fractions is 67/241332.Finally, GCF of Fractions for 67/507, 7169/1428 is 67/241332.