GCF of 1532/260, 1138/7904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1532/260, 1138/7904 i.e 2/39520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1532/260, 1138/7904.
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 1532/260,1138/7904?
Given fractions are 1532/260,1138/7904
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 1532/260,1138/7904, numerators are 1532,1138
Denominators are 260,7904
The GCF of 1532,1138 is 2 .
LCM of 260,7904 is 39520.
The greatest common factor of 1532/260,1138/7904 = [GCF of 1532,1138]/[LCM of 260,7904]= 2/39520
Therefore, the GCF of 1532/260,1138/7904 is 2/39520.
To find the highest common factor of 1532,1138, we have to find the factors of both numbers and list the highest common factor.
The factors of 1532 are 1, 2, 4, 383, 766, 1532
The factors of 1138 are 1, 2, 569, 1138
The HCF of 1532,1138 is 2.
Lets's calculate GCF of 1532,1138
| 2 | 1532, 1138 |
| 766, 569 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1532,1138 By Matching Biggest Common Factor Method
Now, list down the factors of 1532
:1,2,4,383,766,1532
Now, list down the factors of 1138
:1,2,569,1138
Greatest Common Factor
We found the factors 1532,1138 . The biggest common factor number is the GCF number.
So the greatest common factor 1532,1138 is 2.
Lets's calculate LCM of 260,7904
| 2 | 260, 7904 |
| 2 | 130, 3952 |
| 13 | 65, 1976 |
| 5, 152 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 5 x 152 = 39520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39520
Therefore, the GCF of Fractions 1532/260,1138/7904 is 2/39520
Least Common Multiple of 260,7904 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 260,7904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,7904) = 52
common factors(in case of two or more numbers have common factors) = 1
GCF(260,7904) x common factors =52 x 1 = 52
LCM(260,7904) = ( 260 × 7904 ) / 52
LCM(260,7904) = 2055040 / 52
LCM(260,7904) = 39520
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FAQs on GCF of Fractions of 1532/260, 1138/7904
1. What is the HCF of 1532,1138?
The HCF of 1532,1138 is 2
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 1532/260, 1138/7904?
Answer: GCF of Numerators as per given numbers 1532/260, 1138/7904 is
GCF of Numerators i.e. for 1532,1138 is 2
LCM of denominators i.e. for 260,7904 is 39520.
Thus, GCF of Fractions is 2/39520.Finally, GCF of Fractions for 1532/260, 1138/7904 is 2/39520.