GCF of 75/43, 597/97, 828/657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 75/43, 597/97, 828/657 i.e 3/2740347 easily. The following is the detailed procedure to determine the greatest common factor of fractions 75/43, 597/97, 828/657.
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 75/43,597/97,828/657?
Given fractions are 75/43,597/97,828/657
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 75/43,597/97,828/657, numerators are 75,597,828
Denominators are 43,97,657
The GCF of 75,597,828 is 3 .
LCM of 43,97,657 is 2740347.
The greatest common factor of 75/43,597/97,828/657 = [GCF of 75,597,828]/[LCM of 43,97,657]= 3/2740347
Therefore, the GCF of 75/43,597/97,828/657 is 3/2740347.
To find the highest common factor of 75,597,828, we have to find the factors of both numbers and list the highest common factor.
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 597 are 1, 3, 199, 597
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
The HCF of 75,597,828 is 3.
Lets's calculate GCF of 75,597,828
| 3 | 75, 597, 828 |
| 25, 199, 276 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 75,597,828 By Matching Biggest Common Factor Method
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 597
:1,3,199,597
Now, list down the factors of 828
:1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 75,597,828 . The biggest common factor number is the GCF number.
So the greatest common factor 75,597,828 is 3.
Lets's calculate LCM of 43,97,657
Given numbers has no common factors except 1. So, there LCM is their product i.e 2740347
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2740347
Therefore, the GCF of Fractions 75/43,597/97,828/657 is 3/2740347
Least Common Multiple of 43,97,657 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 43,97,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,97,657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,97,657) x common factors =1 x 1 = 1
LCM(43,97,657) = ( 43 × 97 × 657 ) / 1
LCM(43,97,657) = 2740347 / 1
LCM(43,97,657) = 2740347
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 75/43, 597/97, 828/657
1. What is the HCF of 75,597,828?
The HCF of 75,597,828 is 3
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 75/43, 597/97, 828/657?
Answer: GCF of Numerators as per given numbers 75/43, 597/97, 828/657 is
GCF of Numerators i.e. for 75,597,828 is 3
LCM of denominators i.e. for 43,97,657 is 2740347.
Thus, GCF of Fractions is 3/2740347.Finally, GCF of Fractions for 75/43, 597/97, 828/657 is 3/2740347.