GCF of 5240/749, 1180/8411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5240/749, 1180/8411 i.e 20/6299839 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5240/749, 1180/8411.
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 5240/749,1180/8411?
Given fractions are 5240/749,1180/8411
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 5240/749,1180/8411, numerators are 5240,1180
Denominators are 749,8411
The GCF of 5240,1180 is 20 .
LCM of 749,8411 is 6299839.
The greatest common factor of 5240/749,1180/8411 = [GCF of 5240,1180]/[LCM of 749,8411]= 20/6299839
Therefore, the GCF of 5240/749,1180/8411 is 20/6299839.
To find the highest common factor of 5240,1180, we have to find the factors of both numbers and list the highest common factor.
The factors of 5240 are 1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240
The factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180
The HCF of 5240,1180 is 20.
Lets's calculate GCF of 5240,1180
| 2 | 5240, 1180 |
| 2 | 2620, 590 |
| 5 | 1310, 295 |
| 262, 59 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 5240,1180 By Matching Biggest Common Factor Method
Now, list down the factors of 5240
:1,2,4,5,8,10,20,40,131,262,524,655,1048,1310,2620,5240
Now, list down the factors of 1180
:1,2,4,5,10,20,59,118,236,295,590,1180
Greatest Common Factor
We found the factors 5240,1180 . The biggest common factor number is the GCF number.
So the greatest common factor 5240,1180 is 20.
Lets's calculate LCM of 749,8411
Given numbers has no common factors except 1. So, there LCM is their product i.e 6299839
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/6299839
Therefore, the GCF of Fractions 5240/749,1180/8411 is 20/6299839
Least Common Multiple of 749,8411 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 749,8411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,8411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,8411) x common factors =1 x 1 = 1
LCM(749,8411) = ( 749 × 8411 ) / 1
LCM(749,8411) = 6299839 / 1
LCM(749,8411) = 6299839
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FAQs on GCF of Fractions of 5240/749, 1180/8411
1. What is the HCF of 5240,1180?
The HCF of 5240,1180 is 20
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 5240/749, 1180/8411?
Answer: GCF of Numerators as per given numbers 5240/749, 1180/8411 is
GCF of Numerators i.e. for 5240,1180 is 20
LCM of denominators i.e. for 749,8411 is 6299839.
Thus, GCF of Fractions is 20/6299839.Finally, GCF of Fractions for 5240/749, 1180/8411 is 20/6299839.