GCF of 1507/134, 7308/1036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1507/134, 7308/1036 i.e 1/69412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1507/134, 7308/1036.
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 1507/134,7308/1036?
Given fractions are 1507/134,7308/1036
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 1507/134,7308/1036, numerators are 1507,7308
Denominators are 134,1036
The GCF of 1507,7308 is 1 .
LCM of 134,1036 is 69412.
The greatest common factor of 1507/134,7308/1036 = [GCF of 1507,7308]/[LCM of 134,1036]= 1/69412
Therefore, the GCF of 1507/134,7308/1036 is 1/69412.
To find the highest common factor of 1507,7308, we have to find the factors of both numbers and list the highest common factor.
The factors of 1507 are 1, 11, 137, 1507
The factors of 7308 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654, 7308
The HCF of 1507,7308 is 1.
Lets's calculate GCF of 1507,7308
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1507,7308 By Matching Biggest Common Factor Method
Now, list down the factors of 1507
:1,11,137,1507
Now, list down the factors of 7308
:1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308
Greatest Common Factor
We found the factors 1507,7308 . The biggest common factor number is the GCF number.
So the greatest common factor 1507,7308 is 1.
Lets's calculate LCM of 134,1036
| 2 | 134, 1036 |
| 67, 518 |
∴ So the LCM of the given numbers is 2 x 67 x 518 = 69412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69412
Therefore, the GCF of Fractions 1507/134,7308/1036 is 1/69412
Least Common Multiple of 134,1036 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 134,1036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,1036) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(134,1036) x common factors =2 x 1 = 2
LCM(134,1036) = ( 134 × 1036 ) / 2
LCM(134,1036) = 138824 / 2
LCM(134,1036) = 69412
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FAQs on GCF of Fractions of 1507/134, 7308/1036
1. What is the HCF of 1507,7308?
The HCF of 1507,7308 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 1507/134, 7308/1036?
Answer: GCF of Numerators as per given numbers 1507/134, 7308/1036 is
GCF of Numerators i.e. for 1507,7308 is 1
LCM of denominators i.e. for 134,1036 is 69412.
Thus, GCF of Fractions is 1/69412.Finally, GCF of Fractions for 1507/134, 7308/1036 is 1/69412.