GCF of 3689/526, 3534/650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3689/526, 3534/650 i.e 31/170950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3689/526, 3534/650.
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 3689/526,3534/650?
Given fractions are 3689/526,3534/650
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 3689/526,3534/650, numerators are 3689,3534
Denominators are 526,650
The GCF of 3689,3534 is 31 .
LCM of 526,650 is 170950.
The greatest common factor of 3689/526,3534/650 = [GCF of 3689,3534]/[LCM of 526,650]= 31/170950
Therefore, the GCF of 3689/526,3534/650 is 31/170950.
To find the highest common factor of 3689,3534, we have to find the factors of both numbers and list the highest common factor.
The factors of 3689 are 1, 7, 17, 31, 119, 217, 527, 3689
The factors of 3534 are 1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767, 3534
The HCF of 3689,3534 is 31.
Lets's calculate GCF of 3689,3534
| 31 | 3689, 3534 |
| 119, 114 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 3689,3534 By Matching Biggest Common Factor Method
Now, list down the factors of 3689
:1,7,17,31,119,217,527,3689
Now, list down the factors of 3534
:1,2,3,6,19,31,38,57,62,93,114,186,589,1178,1767,3534
Greatest Common Factor
We found the factors 3689,3534 . The biggest common factor number is the GCF number.
So the greatest common factor 3689,3534 is 31.
Lets's calculate LCM of 526,650
| 2 | 526, 650 |
| 263, 325 |
∴ So the LCM of the given numbers is 2 x 263 x 325 = 170950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/170950
Therefore, the GCF of Fractions 3689/526,3534/650 is 31/170950
Least Common Multiple of 526,650 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 526,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,650) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,650) x common factors =2 x 1 = 2
LCM(526,650) = ( 526 × 650 ) / 2
LCM(526,650) = 341900 / 2
LCM(526,650) = 170950
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FAQs on GCF of Fractions of 3689/526, 3534/650
1. What is the HCF of 3689,3534?
The HCF of 3689,3534 is 31
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 3689/526, 3534/650?
Answer: GCF of Numerators as per given numbers 3689/526, 3534/650 is
GCF of Numerators i.e. for 3689,3534 is 31
LCM of denominators i.e. for 526,650 is 170950.
Thus, GCF of Fractions is 31/170950.Finally, GCF of Fractions for 3689/526, 3534/650 is 31/170950.