GCF of 7540/697, 4342/3080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7540/697, 4342/3080 i.e 26/2146760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7540/697, 4342/3080.
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 7540/697,4342/3080?
Given fractions are 7540/697,4342/3080
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 7540/697,4342/3080, numerators are 7540,4342
Denominators are 697,3080
The GCF of 7540,4342 is 26 .
LCM of 697,3080 is 2146760.
The greatest common factor of 7540/697,4342/3080 = [GCF of 7540,4342]/[LCM of 697,3080]= 26/2146760
Therefore, the GCF of 7540/697,4342/3080 is 26/2146760.
To find the highest common factor of 7540,4342, we have to find the factors of both numbers and list the highest common factor.
The factors of 7540 are 1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 260, 290, 377, 580, 754, 1508, 1885, 3770, 7540
The factors of 4342 are 1, 2, 13, 26, 167, 334, 2171, 4342
The HCF of 7540,4342 is 26.
Lets's calculate GCF of 7540,4342
| 2 | 7540, 4342 |
| 13 | 3770, 2171 |
| 290, 167 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 7540,4342 By Matching Biggest Common Factor Method
Now, list down the factors of 7540
:1,2,4,5,10,13,20,26,29,52,58,65,116,130,145,260,290,377,580,754,1508,1885,3770,7540
Now, list down the factors of 4342
:1,2,13,26,167,334,2171,4342
Greatest Common Factor
We found the factors 7540,4342 . The biggest common factor number is the GCF number.
So the greatest common factor 7540,4342 is 26.
Lets's calculate LCM of 697,3080
Given numbers has no common factors except 1. So, there LCM is their product i.e 2146760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/2146760
Therefore, the GCF of Fractions 7540/697,4342/3080 is 26/2146760
Least Common Multiple of 697,3080 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 697,3080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,3080) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,3080) x common factors =1 x 1 = 1
LCM(697,3080) = ( 697 × 3080 ) / 1
LCM(697,3080) = 2146760 / 1
LCM(697,3080) = 2146760
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FAQs on GCF of Fractions of 7540/697, 4342/3080
1. What is the HCF of 7540,4342?
The HCF of 7540,4342 is 26
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 7540/697, 4342/3080?
Answer: GCF of Numerators as per given numbers 7540/697, 4342/3080 is
GCF of Numerators i.e. for 7540,4342 is 26
LCM of denominators i.e. for 697,3080 is 2146760.
Thus, GCF of Fractions is 26/2146760.Finally, GCF of Fractions for 7540/697, 4342/3080 is 26/2146760.