GCF of 5239/835, 8450/7770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5239/835, 8450/7770 i.e 169/1297590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5239/835, 8450/7770.
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 5239/835,8450/7770?
Given fractions are 5239/835,8450/7770
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 5239/835,8450/7770, numerators are 5239,8450
Denominators are 835,7770
The GCF of 5239,8450 is 169 .
LCM of 835,7770 is 1297590.
The greatest common factor of 5239/835,8450/7770 = [GCF of 5239,8450]/[LCM of 835,7770]= 169/1297590
Therefore, the GCF of 5239/835,8450/7770 is 169/1297590.
To find the highest common factor of 5239,8450, we have to find the factors of both numbers and list the highest common factor.
The factors of 5239 are 1, 13, 31, 169, 403, 5239
The factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450
The HCF of 5239,8450 is 169.
Lets's calculate GCF of 5239,8450
| 13 | 5239, 8450 |
| 13 | 403, 650 |
| 31, 50 |
∴ So the GCF of the given numbers is 13 x 13 = 169
Greatest Common Factor of 5239,8450 By Matching Biggest Common Factor Method
Now, list down the factors of 5239
:1,13,31,169,403,5239
Now, list down the factors of 8450
:1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450
Greatest Common Factor
We found the factors 5239,8450 . The biggest common factor number is the GCF number.
So the greatest common factor 5239,8450 is 169.
Lets's calculate LCM of 835,7770
| 5 | 835, 7770 |
| 167, 1554 |
∴ So the LCM of the given numbers is 5 x 167 x 1554 = 1297590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 169/1297590
Therefore, the GCF of Fractions 5239/835,8450/7770 is 169/1297590
Least Common Multiple of 835,7770 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 835,7770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,7770) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(835,7770) x common factors =5 x 1 = 5
LCM(835,7770) = ( 835 × 7770 ) / 5
LCM(835,7770) = 6487950 / 5
LCM(835,7770) = 1297590
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FAQs on GCF of Fractions of 5239/835, 8450/7770
1. What is the HCF of 5239,8450?
The HCF of 5239,8450 is 169
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 5239/835, 8450/7770?
Answer: GCF of Numerators as per given numbers 5239/835, 8450/7770 is
GCF of Numerators i.e. for 5239,8450 is 169
LCM of denominators i.e. for 835,7770 is 1297590.
Thus, GCF of Fractions is 169/1297590.Finally, GCF of Fractions for 5239/835, 8450/7770 is 169/1297590.