GCF of 1639/152, 2902/5092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1639/152, 2902/5092 i.e 1/10184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1639/152, 2902/5092.
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 1639/152,2902/5092?
Given fractions are 1639/152,2902/5092
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 1639/152,2902/5092, numerators are 1639,2902
Denominators are 152,5092
The GCF of 1639,2902 is 1 .
LCM of 152,5092 is 10184.
The greatest common factor of 1639/152,2902/5092 = [GCF of 1639,2902]/[LCM of 152,5092]= 1/10184
Therefore, the GCF of 1639/152,2902/5092 is 1/10184.
To find the highest common factor of 1639,2902, we have to find the factors of both numbers and list the highest common factor.
The factors of 1639 are 1, 11, 149, 1639
The factors of 2902 are 1, 2, 1451, 2902
The HCF of 1639,2902 is 1.
Lets's calculate GCF of 1639,2902
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1639,2902 By Matching Biggest Common Factor Method
Now, list down the factors of 1639
:1,11,149,1639
Now, list down the factors of 2902
:1,2,1451,2902
Greatest Common Factor
We found the factors 1639,2902 . The biggest common factor number is the GCF number.
So the greatest common factor 1639,2902 is 1.
Lets's calculate LCM of 152,5092
| 2 | 152, 5092 |
| 2 | 76, 2546 |
| 19 | 38, 1273 |
| 2, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 2 x 67 = 10184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10184
Therefore, the GCF of Fractions 1639/152,2902/5092 is 1/10184
Least Common Multiple of 152,5092 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 152,5092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,5092) = 76
common factors(in case of two or more numbers have common factors) = 1
GCF(152,5092) x common factors =76 x 1 = 76
LCM(152,5092) = ( 152 × 5092 ) / 76
LCM(152,5092) = 773984 / 76
LCM(152,5092) = 10184
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FAQs on GCF of Fractions of 1639/152, 2902/5092
1. What is the HCF of 1639,2902?
The HCF of 1639,2902 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 1639/152, 2902/5092?
Answer: GCF of Numerators as per given numbers 1639/152, 2902/5092 is
GCF of Numerators i.e. for 1639,2902 is 1
LCM of denominators i.e. for 152,5092 is 10184.
Thus, GCF of Fractions is 1/10184.Finally, GCF of Fractions for 1639/152, 2902/5092 is 1/10184.