GCF of 740/348, 675/264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 740/348, 675/264 i.e 5/7656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 740/348, 675/264.
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 740/348,675/264?
Given fractions are 740/348,675/264
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 740/348,675/264, numerators are 740,675
Denominators are 348,264
The GCF of 740,675 is 5 .
LCM of 348,264 is 7656.
The greatest common factor of 740/348,675/264 = [GCF of 740,675]/[LCM of 348,264]= 5/7656
Therefore, the GCF of 740/348,675/264 is 5/7656.
To find the highest common factor of 740,675, we have to find the factors of both numbers and list the highest common factor.
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
The HCF of 740,675 is 5.
Lets's calculate GCF of 740,675
| 5 | 740, 675 |
| 148, 135 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 740,675 By Matching Biggest Common Factor Method
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Now, list down the factors of 675
:1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 740,675 . The biggest common factor number is the GCF number.
So the greatest common factor 740,675 is 5.
Lets's calculate LCM of 348,264
| 2 | 348, 264 |
| 2 | 174, 132 |
| 3 | 87, 66 |
| 29, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 22 = 7656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7656
Therefore, the GCF of Fractions 740/348,675/264 is 5/7656
Least Common Multiple of 348,264 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 348,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,264) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(348,264) x common factors =12 x 1 = 12
LCM(348,264) = ( 348 × 264 ) / 12
LCM(348,264) = 91872 / 12
LCM(348,264) = 7656
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FAQs on GCF of Fractions of 740/348, 675/264
1. What is the HCF of 740,675?
The HCF of 740,675 is 5
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 740/348, 675/264?
Answer: GCF of Numerators as per given numbers 740/348, 675/264 is
GCF of Numerators i.e. for 740,675 is 5
LCM of denominators i.e. for 348,264 is 7656.
Thus, GCF of Fractions is 5/7656.Finally, GCF of Fractions for 740/348, 675/264 is 5/7656.