GCF of 7490/130, 6623/7195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7490/130, 6623/7195 i.e 1/187070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7490/130, 6623/7195.
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 7490/130,6623/7195?
Given fractions are 7490/130,6623/7195
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 7490/130,6623/7195, numerators are 7490,6623
Denominators are 130,7195
The GCF of 7490,6623 is 1 .
LCM of 130,7195 is 187070.
The greatest common factor of 7490/130,6623/7195 = [GCF of 7490,6623]/[LCM of 130,7195]= 1/187070
Therefore, the GCF of 7490/130,6623/7195 is 1/187070.
To find the highest common factor of 7490,6623, we have to find the factors of both numbers and list the highest common factor.
The factors of 7490 are 1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490
The factors of 6623 are 1, 37, 179, 6623
The HCF of 7490,6623 is 1.
Lets's calculate GCF of 7490,6623
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7490,6623 By Matching Biggest Common Factor Method
Now, list down the factors of 7490
:1,2,5,7,10,14,35,70,107,214,535,749,1070,1498,3745,7490
Now, list down the factors of 6623
:1,37,179,6623
Greatest Common Factor
We found the factors 7490,6623 . The biggest common factor number is the GCF number.
So the greatest common factor 7490,6623 is 1.
Lets's calculate LCM of 130,7195
| 5 | 130, 7195 |
| 26, 1439 |
∴ So the LCM of the given numbers is 5 x 26 x 1439 = 187070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187070
Therefore, the GCF of Fractions 7490/130,6623/7195 is 1/187070
Least Common Multiple of 130,7195 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 130,7195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,7195) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(130,7195) x common factors =5 x 1 = 5
LCM(130,7195) = ( 130 × 7195 ) / 5
LCM(130,7195) = 935350 / 5
LCM(130,7195) = 187070
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FAQs on GCF of Fractions of 7490/130, 6623/7195
1. What is the HCF of 7490,6623?
The HCF of 7490,6623 is 1
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 7490/130, 6623/7195?
Answer: GCF of Numerators as per given numbers 7490/130, 6623/7195 is
GCF of Numerators i.e. for 7490,6623 is 1
LCM of denominators i.e. for 130,7195 is 187070.
Thus, GCF of Fractions is 1/187070.Finally, GCF of Fractions for 7490/130, 6623/7195 is 1/187070.