GCF of 7506/267, 8378/1564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7506/267, 8378/1564 i.e 2/417588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7506/267, 8378/1564.
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 7506/267,8378/1564?
Given fractions are 7506/267,8378/1564
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 7506/267,8378/1564, numerators are 7506,8378
Denominators are 267,1564
The GCF of 7506,8378 is 2 .
LCM of 267,1564 is 417588.
The greatest common factor of 7506/267,8378/1564 = [GCF of 7506,8378]/[LCM of 267,1564]= 2/417588
Therefore, the GCF of 7506/267,8378/1564 is 2/417588.
To find the highest common factor of 7506,8378, we have to find the factors of both numbers and list the highest common factor.
The factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506
The factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378
The HCF of 7506,8378 is 2.
Lets's calculate GCF of 7506,8378
| 2 | 7506, 8378 |
| 3753, 4189 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7506,8378 By Matching Biggest Common Factor Method
Now, list down the factors of 7506
:1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506
Now, list down the factors of 8378
:1,2,59,71,118,142,4189,8378
Greatest Common Factor
We found the factors 7506,8378 . The biggest common factor number is the GCF number.
So the greatest common factor 7506,8378 is 2.
Lets's calculate LCM of 267,1564
Given numbers has no common factors except 1. So, there LCM is their product i.e 417588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/417588
Therefore, the GCF of Fractions 7506/267,8378/1564 is 2/417588
Least Common Multiple of 267,1564 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 267,1564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,1564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,1564) x common factors =1 x 1 = 1
LCM(267,1564) = ( 267 × 1564 ) / 1
LCM(267,1564) = 417588 / 1
LCM(267,1564) = 417588
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FAQs on GCF of Fractions of 7506/267, 8378/1564
1. What is the HCF of 7506,8378?
The HCF of 7506,8378 is 2
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 7506/267, 8378/1564?
Answer: GCF of Numerators as per given numbers 7506/267, 8378/1564 is
GCF of Numerators i.e. for 7506,8378 is 2
LCM of denominators i.e. for 267,1564 is 417588.
Thus, GCF of Fractions is 2/417588.Finally, GCF of Fractions for 7506/267, 8378/1564 is 2/417588.