GCF of 5240/762, 6040/8429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5240/762, 6040/8429 i.e 40/6422898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5240/762, 6040/8429.
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 5240/762,6040/8429?
Given fractions are 5240/762,6040/8429
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 5240/762,6040/8429, numerators are 5240,6040
Denominators are 762,8429
The GCF of 5240,6040 is 40 .
LCM of 762,8429 is 6422898.
The greatest common factor of 5240/762,6040/8429 = [GCF of 5240,6040]/[LCM of 762,8429]= 40/6422898
Therefore, the GCF of 5240/762,6040/8429 is 40/6422898.
To find the highest common factor of 5240,6040, 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 6040 are 1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040
The HCF of 5240,6040 is 40.
Lets's calculate GCF of 5240,6040
| 2 | 5240, 6040 |
| 2 | 2620, 3020 |
| 2 | 1310, 1510 |
| 5 | 655, 755 |
| 131, 151 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 5240,6040 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 6040
:1,2,4,5,8,10,20,40,151,302,604,755,1208,1510,3020,6040
Greatest Common Factor
We found the factors 5240,6040 . The biggest common factor number is the GCF number.
So the greatest common factor 5240,6040 is 40.
Lets's calculate LCM of 762,8429
Given numbers has no common factors except 1. So, there LCM is their product i.e 6422898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/6422898
Therefore, the GCF of Fractions 5240/762,6040/8429 is 40/6422898
Least Common Multiple of 762,8429 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 762,8429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,8429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(762,8429) x common factors =1 x 1 = 1
LCM(762,8429) = ( 762 × 8429 ) / 1
LCM(762,8429) = 6422898 / 1
LCM(762,8429) = 6422898
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FAQs on GCF of Fractions of 5240/762, 6040/8429
1. What is the HCF of 5240,6040?
The HCF of 5240,6040 is 40
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 5240/762, 6040/8429?
Answer: GCF of Numerators as per given numbers 5240/762, 6040/8429 is
GCF of Numerators i.e. for 5240,6040 is 40
LCM of denominators i.e. for 762,8429 is 6422898.
Thus, GCF of Fractions is 40/6422898.Finally, GCF of Fractions for 5240/762, 6040/8429 is 40/6422898.