GCF of 7040/555, 6978/3674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7040/555, 6978/3674 i.e 2/2039070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7040/555, 6978/3674.
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 7040/555,6978/3674?
Given fractions are 7040/555,6978/3674
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 7040/555,6978/3674, numerators are 7040,6978
Denominators are 555,3674
The GCF of 7040,6978 is 2 .
LCM of 555,3674 is 2039070.
The greatest common factor of 7040/555,6978/3674 = [GCF of 7040,6978]/[LCM of 555,3674]= 2/2039070
Therefore, the GCF of 7040/555,6978/3674 is 2/2039070.
To find the highest common factor of 7040,6978, we have to find the factors of both numbers and list the highest common factor.
The factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040
The factors of 6978 are 1, 2, 3, 6, 1163, 2326, 3489, 6978
The HCF of 7040,6978 is 2.
Lets's calculate GCF of 7040,6978
| 2 | 7040, 6978 |
| 3520, 3489 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7040,6978 By Matching Biggest Common Factor Method
Now, list down the factors of 7040
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040
Now, list down the factors of 6978
:1,2,3,6,1163,2326,3489,6978
Greatest Common Factor
We found the factors 7040,6978 . The biggest common factor number is the GCF number.
So the greatest common factor 7040,6978 is 2.
Lets's calculate LCM of 555,3674
Given numbers has no common factors except 1. So, there LCM is their product i.e 2039070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2039070
Therefore, the GCF of Fractions 7040/555,6978/3674 is 2/2039070
Least Common Multiple of 555,3674 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 555,3674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,3674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(555,3674) x common factors =1 x 1 = 1
LCM(555,3674) = ( 555 × 3674 ) / 1
LCM(555,3674) = 2039070 / 1
LCM(555,3674) = 2039070
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FAQs on GCF of Fractions of 7040/555, 6978/3674
1. What is the HCF of 7040,6978?
The HCF of 7040,6978 is 2
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 7040/555, 6978/3674?
Answer: GCF of Numerators as per given numbers 7040/555, 6978/3674 is
GCF of Numerators i.e. for 7040,6978 is 2
LCM of denominators i.e. for 555,3674 is 2039070.
Thus, GCF of Fractions is 2/2039070.Finally, GCF of Fractions for 7040/555, 6978/3674 is 2/2039070.