GCF of 6790/720, 5190/5014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6790/720, 5190/5014 i.e 10/1805040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6790/720, 5190/5014.
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 6790/720,5190/5014?
Given fractions are 6790/720,5190/5014
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 6790/720,5190/5014, numerators are 6790,5190
Denominators are 720,5014
The GCF of 6790,5190 is 10 .
LCM of 720,5014 is 1805040.
The greatest common factor of 6790/720,5190/5014 = [GCF of 6790,5190]/[LCM of 720,5014]= 10/1805040
Therefore, the GCF of 6790/720,5190/5014 is 10/1805040.
To find the highest common factor of 6790,5190, we have to find the factors of both numbers and list the highest common factor.
The factors of 6790 are 1, 2, 5, 7, 10, 14, 35, 70, 97, 194, 485, 679, 970, 1358, 3395, 6790
The factors of 5190 are 1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190
The HCF of 6790,5190 is 10.
Lets's calculate GCF of 6790,5190
| 2 | 6790, 5190 |
| 5 | 3395, 2595 |
| 679, 519 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6790,5190 By Matching Biggest Common Factor Method
Now, list down the factors of 6790
:1,2,5,7,10,14,35,70,97,194,485,679,970,1358,3395,6790
Now, list down the factors of 5190
:1,2,3,5,6,10,15,30,173,346,519,865,1038,1730,2595,5190
Greatest Common Factor
We found the factors 6790,5190 . The biggest common factor number is the GCF number.
So the greatest common factor 6790,5190 is 10.
Lets's calculate LCM of 720,5014
| 2 | 720, 5014 |
| 360, 2507 |
∴ So the LCM of the given numbers is 2 x 360 x 2507 = 1805040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1805040
Therefore, the GCF of Fractions 6790/720,5190/5014 is 10/1805040
Least Common Multiple of 720,5014 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 720,5014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,5014) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(720,5014) x common factors =2 x 1 = 2
LCM(720,5014) = ( 720 × 5014 ) / 2
LCM(720,5014) = 3610080 / 2
LCM(720,5014) = 1805040
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FAQs on GCF of Fractions of 6790/720, 5190/5014
1. What is the HCF of 6790,5190?
The HCF of 6790,5190 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 6790/720, 5190/5014?
Answer: GCF of Numerators as per given numbers 6790/720, 5190/5014 is
GCF of Numerators i.e. for 6790,5190 is 10
LCM of denominators i.e. for 720,5014 is 1805040.
Thus, GCF of Fractions is 10/1805040.Finally, GCF of Fractions for 6790/720, 5190/5014 is 10/1805040.