GCF of 694/410, 700/519, 360/346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 694/410, 700/519, 360/346 i.e 2/212790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 694/410, 700/519, 360/346.
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 694/410,700/519,360/346?
Given fractions are 694/410,700/519,360/346
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 694/410,700/519,360/346, numerators are 694,700,360
Denominators are 410,519,346
The GCF of 694,700,360 is 2 .
LCM of 410,519,346 is 212790.
The greatest common factor of 694/410,700/519,360/346 = [GCF of 694,700,360]/[LCM of 410,519,346]= 2/212790
Therefore, the GCF of 694/410,700/519,360/346 is 2/212790.
To find the highest common factor of 694,700,360, 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 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 694,700,360 is 2.
Lets's calculate GCF of 694,700,360
| 2 | 694, 700, 360 |
| 347, 350, 180 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 694,700,360 By Matching Biggest Common Factor Method
Now, list down the factors of 694
:1,2,347,694
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 694,700,360 . The biggest common factor number is the GCF number.
So the greatest common factor 694,700,360 is 2.
Lets's calculate LCM of 410,519,346
| 2 | 410, 519, 346 |
| 173 | 205, 519, 173 |
| 205, 3, 1 |
∴ So the LCM of the given numbers is 2 x 173 x 205 x 3 x 1 = 212790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212790
Therefore, the GCF of Fractions 694/410,700/519,360/346 is 2/212790
Least Common Multiple of 410,519,346 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 410,519,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,519,346) = 1
common factors(in case of two or more numbers have common factors) = 346
GCF(410,519,346) x common factors =1 x 346 = 346
LCM(410,519,346) = ( 410 × 519 × 346 ) / 346
LCM(410,519,346) = 73625340 / 346
LCM(410,519,346) = 212790
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FAQs on GCF of Fractions of 694/410, 700/519, 360/346
1. What is the HCF of 694,700,360?
The HCF of 694,700,360 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 694/410, 700/519, 360/346?
Answer: GCF of Numerators as per given numbers 694/410, 700/519, 360/346 is
GCF of Numerators i.e. for 694,700,360 is 2
LCM of denominators i.e. for 410,519,346 is 212790.
Thus, GCF of Fractions is 2/212790.Finally, GCF of Fractions for 694/410, 700/519, 360/346 is 2/212790.