GCF of 1529/106, 3538/8702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1529/106, 3538/8702 i.e 1/461206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1529/106, 3538/8702.
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 1529/106,3538/8702?
Given fractions are 1529/106,3538/8702
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 1529/106,3538/8702, numerators are 1529,3538
Denominators are 106,8702
The GCF of 1529,3538 is 1 .
LCM of 106,8702 is 461206.
The greatest common factor of 1529/106,3538/8702 = [GCF of 1529,3538]/[LCM of 106,8702]= 1/461206
Therefore, the GCF of 1529/106,3538/8702 is 1/461206.
To find the highest common factor of 1529,3538, we have to find the factors of both numbers and list the highest common factor.
The factors of 1529 are 1, 11, 139, 1529
The factors of 3538 are 1, 2, 29, 58, 61, 122, 1769, 3538
The HCF of 1529,3538 is 1.
Lets's calculate GCF of 1529,3538
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1529,3538 By Matching Biggest Common Factor Method
Now, list down the factors of 1529
:1,11,139,1529
Now, list down the factors of 3538
:1,2,29,58,61,122,1769,3538
Greatest Common Factor
We found the factors 1529,3538 . The biggest common factor number is the GCF number.
So the greatest common factor 1529,3538 is 1.
Lets's calculate LCM of 106,8702
| 2 | 106, 8702 |
| 53, 4351 |
∴ So the LCM of the given numbers is 2 x 53 x 4351 = 461206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/461206
Therefore, the GCF of Fractions 1529/106,3538/8702 is 1/461206
Least Common Multiple of 106,8702 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 106,8702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,8702) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,8702) x common factors =2 x 1 = 2
LCM(106,8702) = ( 106 × 8702 ) / 2
LCM(106,8702) = 922412 / 2
LCM(106,8702) = 461206
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FAQs on GCF of Fractions of 1529/106, 3538/8702
1. What is the HCF of 1529,3538?
The HCF of 1529,3538 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 1529/106, 3538/8702?
Answer: GCF of Numerators as per given numbers 1529/106, 3538/8702 is
GCF of Numerators i.e. for 1529,3538 is 1
LCM of denominators i.e. for 106,8702 is 461206.
Thus, GCF of Fractions is 1/461206.Finally, GCF of Fractions for 1529/106, 3538/8702 is 1/461206.