GCF of 4190/832, 8140/5129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4190/832, 8140/5129 i.e 10/4267328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4190/832, 8140/5129.
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 4190/832,8140/5129?
Given fractions are 4190/832,8140/5129
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 4190/832,8140/5129, numerators are 4190,8140
Denominators are 832,5129
The GCF of 4190,8140 is 10 .
LCM of 832,5129 is 4267328.
The greatest common factor of 4190/832,8140/5129 = [GCF of 4190,8140]/[LCM of 832,5129]= 10/4267328
Therefore, the GCF of 4190/832,8140/5129 is 10/4267328.
To find the highest common factor of 4190,8140, we have to find the factors of both numbers and list the highest common factor.
The factors of 4190 are 1, 2, 5, 10, 419, 838, 2095, 4190
The factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140
The HCF of 4190,8140 is 10.
Lets's calculate GCF of 4190,8140
| 2 | 4190, 8140 |
| 5 | 2095, 4070 |
| 419, 814 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4190,8140 By Matching Biggest Common Factor Method
Now, list down the factors of 4190
:1,2,5,10,419,838,2095,4190
Now, list down the factors of 8140
:1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140
Greatest Common Factor
We found the factors 4190,8140 . The biggest common factor number is the GCF number.
So the greatest common factor 4190,8140 is 10.
Lets's calculate LCM of 832,5129
Given numbers has no common factors except 1. So, there LCM is their product i.e 4267328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4267328
Therefore, the GCF of Fractions 4190/832,8140/5129 is 10/4267328
Least Common Multiple of 832,5129 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 832,5129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,5129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(832,5129) x common factors =1 x 1 = 1
LCM(832,5129) = ( 832 × 5129 ) / 1
LCM(832,5129) = 4267328 / 1
LCM(832,5129) = 4267328
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FAQs on GCF of Fractions of 4190/832, 8140/5129
1. What is the HCF of 4190,8140?
The HCF of 4190,8140 is 10
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 4190/832, 8140/5129?
Answer: GCF of Numerators as per given numbers 4190/832, 8140/5129 is
GCF of Numerators i.e. for 4190,8140 is 10
LCM of denominators i.e. for 832,5129 is 4267328.
Thus, GCF of Fractions is 10/4267328.Finally, GCF of Fractions for 4190/832, 8140/5129 is 10/4267328.