GCF of 1250/162, 8678/3202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1250/162, 8678/3202 i.e 2/259362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1250/162, 8678/3202.
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 1250/162,8678/3202?
Given fractions are 1250/162,8678/3202
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 1250/162,8678/3202, numerators are 1250,8678
Denominators are 162,3202
The GCF of 1250,8678 is 2 .
LCM of 162,3202 is 259362.
The greatest common factor of 1250/162,8678/3202 = [GCF of 1250,8678]/[LCM of 162,3202]= 2/259362
Therefore, the GCF of 1250/162,8678/3202 is 2/259362.
To find the highest common factor of 1250,8678, we have to find the factors of both numbers and list the highest common factor.
The factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250
The factors of 8678 are 1, 2, 4339, 8678
The HCF of 1250,8678 is 2.
Lets's calculate GCF of 1250,8678
| 2 | 1250, 8678 |
| 625, 4339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1250,8678 By Matching Biggest Common Factor Method
Now, list down the factors of 1250
:1,2,5,10,25,50,125,250,625,1250
Now, list down the factors of 8678
:1,2,4339,8678
Greatest Common Factor
We found the factors 1250,8678 . The biggest common factor number is the GCF number.
So the greatest common factor 1250,8678 is 2.
Lets's calculate LCM of 162,3202
| 2 | 162, 3202 |
| 81, 1601 |
∴ So the LCM of the given numbers is 2 x 81 x 1601 = 259362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/259362
Therefore, the GCF of Fractions 1250/162,8678/3202 is 2/259362
Least Common Multiple of 162,3202 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 162,3202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,3202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,3202) x common factors =2 x 1 = 2
LCM(162,3202) = ( 162 × 3202 ) / 2
LCM(162,3202) = 518724 / 2
LCM(162,3202) = 259362
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FAQs on GCF of Fractions of 1250/162, 8678/3202
1. What is the HCF of 1250,8678?
The HCF of 1250,8678 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 1250/162, 8678/3202?
Answer: GCF of Numerators as per given numbers 1250/162, 8678/3202 is
GCF of Numerators i.e. for 1250,8678 is 2
LCM of denominators i.e. for 162,3202 is 259362.
Thus, GCF of Fractions is 2/259362.Finally, GCF of Fractions for 1250/162, 8678/3202 is 2/259362.