GCF of 6190/602, 6960/6431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6190/602, 6960/6431 i.e 10/3871462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6190/602, 6960/6431.
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 6190/602,6960/6431?
Given fractions are 6190/602,6960/6431
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 6190/602,6960/6431, numerators are 6190,6960
Denominators are 602,6431
The GCF of 6190,6960 is 10 .
LCM of 602,6431 is 3871462.
The greatest common factor of 6190/602,6960/6431 = [GCF of 6190,6960]/[LCM of 602,6431]= 10/3871462
Therefore, the GCF of 6190/602,6960/6431 is 10/3871462.
To find the highest common factor of 6190,6960, we have to find the factors of both numbers and list the highest common factor.
The factors of 6190 are 1, 2, 5, 10, 619, 1238, 3095, 6190
The factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960
The HCF of 6190,6960 is 10.
Lets's calculate GCF of 6190,6960
| 2 | 6190, 6960 |
| 5 | 3095, 3480 |
| 619, 696 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6190,6960 By Matching Biggest Common Factor Method
Now, list down the factors of 6190
:1,2,5,10,619,1238,3095,6190
Now, list down the factors of 6960
:1,2,3,4,5,6,8,10,12,15,16,20,24,29,30,40,48,58,60,80,87,116,120,145,174,232,240,290,348,435,464,580,696,870,1160,1392,1740,2320,3480,6960
Greatest Common Factor
We found the factors 6190,6960 . The biggest common factor number is the GCF number.
So the greatest common factor 6190,6960 is 10.
Lets's calculate LCM of 602,6431
Given numbers has no common factors except 1. So, there LCM is their product i.e 3871462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3871462
Therefore, the GCF of Fractions 6190/602,6960/6431 is 10/3871462
Least Common Multiple of 602,6431 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 602,6431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,6431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(602,6431) x common factors =1 x 1 = 1
LCM(602,6431) = ( 602 × 6431 ) / 1
LCM(602,6431) = 3871462 / 1
LCM(602,6431) = 3871462
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FAQs on GCF of Fractions of 6190/602, 6960/6431
1. What is the HCF of 6190,6960?
The HCF of 6190,6960 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 6190/602, 6960/6431?
Answer: GCF of Numerators as per given numbers 6190/602, 6960/6431 is
GCF of Numerators i.e. for 6190,6960 is 10
LCM of denominators i.e. for 602,6431 is 3871462.
Thus, GCF of Fractions is 10/3871462.Finally, GCF of Fractions for 6190/602, 6960/6431 is 10/3871462.