GCF of 2674/904, 1960/7002
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2674/904, 1960/7002 i.e 14/3164904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2674/904, 1960/7002.
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 2674/904,1960/7002?
Given fractions are 2674/904,1960/7002
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 2674/904,1960/7002, numerators are 2674,1960
Denominators are 904,7002
The GCF of 2674,1960 is 14 .
LCM of 904,7002 is 3164904.
The greatest common factor of 2674/904,1960/7002 = [GCF of 2674,1960]/[LCM of 904,7002]= 14/3164904
Therefore, the GCF of 2674/904,1960/7002 is 14/3164904.
To find the highest common factor of 2674,1960, we have to find the factors of both numbers and list the highest common factor.
The factors of 2674 are 1, 2, 7, 14, 191, 382, 1337, 2674
The factors of 1960 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, 1960
The HCF of 2674,1960 is 14.
Lets's calculate GCF of 2674,1960
| 2 | 2674, 1960 |
| 7 | 1337, 980 |
| 191, 140 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 2674,1960 By Matching Biggest Common Factor Method
Now, list down the factors of 2674
:1,2,7,14,191,382,1337,2674
Now, list down the factors of 1960
:1,2,4,5,7,8,10,14,20,28,35,40,49,56,70,98,140,196,245,280,392,490,980,1960
Greatest Common Factor
We found the factors 2674,1960 . The biggest common factor number is the GCF number.
So the greatest common factor 2674,1960 is 14.
Lets's calculate LCM of 904,7002
| 2 | 904, 7002 |
| 452, 3501 |
∴ So the LCM of the given numbers is 2 x 452 x 3501 = 3164904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3164904
Therefore, the GCF of Fractions 2674/904,1960/7002 is 14/3164904
Least Common Multiple of 904,7002 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 904,7002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,7002) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(904,7002) x common factors =2 x 1 = 2
LCM(904,7002) = ( 904 × 7002 ) / 2
LCM(904,7002) = 6329808 / 2
LCM(904,7002) = 3164904
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FAQs on GCF of Fractions of 2674/904, 1960/7002
1. What is the HCF of 2674,1960?
The HCF of 2674,1960 is 14
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 2674/904, 1960/7002?
Answer: GCF of Numerators as per given numbers 2674/904, 1960/7002 is
GCF of Numerators i.e. for 2674,1960 is 14
LCM of denominators i.e. for 904,7002 is 3164904.
Thus, GCF of Fractions is 14/3164904.Finally, GCF of Fractions for 2674/904, 1960/7002 is 14/3164904.