GCF of 694/654, 5070/4578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 694/654, 5070/4578 i.e 2/4578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 694/654, 5070/4578.
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 694/654,5070/4578?
Given fractions are 694/654,5070/4578
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 694/654,5070/4578, numerators are 694,5070
Denominators are 654,4578
The GCF of 694,5070 is 2 .
LCM of 654,4578 is 4578.
The greatest common factor of 694/654,5070/4578 = [GCF of 694,5070]/[LCM of 654,4578]= 2/4578
Therefore, the GCF of 694/654,5070/4578 is 2/4578.
To find the highest common factor of 694,5070, we have to find the factors of both numbers and list the highest common factor.
The factors of 694 are 1, 2, 347, 694
The factors of 5070 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070
The HCF of 694,5070 is 2.
Lets's calculate GCF of 694,5070
| 2 | 694, 5070 |
| 347, 2535 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 694,5070 By Matching Biggest Common Factor Method
Now, list down the factors of 694
:1,2,347,694
Now, list down the factors of 5070
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070
Greatest Common Factor
We found the factors 694,5070 . The biggest common factor number is the GCF number.
So the greatest common factor 694,5070 is 2.
Lets's calculate LCM of 654,4578
| 2 | 654, 4578 |
| 3 | 327, 2289 |
| 109 | 109, 763 |
| 1, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 1 x 7 = 4578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4578
Therefore, the GCF of Fractions 694/654,5070/4578 is 2/4578
Least Common Multiple of 654,4578 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 654,4578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,4578) = 654
common factors(in case of two or more numbers have common factors) = 1
GCF(654,4578) x common factors =654 x 1 = 654
LCM(654,4578) = ( 654 × 4578 ) / 654
LCM(654,4578) = 2994012 / 654
LCM(654,4578) = 4578
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FAQs on GCF of Fractions of 694/654, 5070/4578
1. What is the HCF of 694,5070?
The HCF of 694,5070 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 694/654, 5070/4578?
Answer: GCF of Numerators as per given numbers 694/654, 5070/4578 is
GCF of Numerators i.e. for 694,5070 is 2
LCM of denominators i.e. for 654,4578 is 4578.
Thus, GCF of Fractions is 2/4578.Finally, GCF of Fractions for 694/654, 5070/4578 is 2/4578.