GCF of 705/854, 2520/606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 705/854, 2520/606 i.e 15/258762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 705/854, 2520/606.
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 705/854,2520/606?
Given fractions are 705/854,2520/606
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 705/854,2520/606, numerators are 705,2520
Denominators are 854,606
The GCF of 705,2520 is 15 .
LCM of 854,606 is 258762.
The greatest common factor of 705/854,2520/606 = [GCF of 705,2520]/[LCM of 854,606]= 15/258762
Therefore, the GCF of 705/854,2520/606 is 15/258762.
To find the highest common factor of 705,2520, we have to find the factors of both numbers and list the highest common factor.
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520
The HCF of 705,2520 is 15.
Lets's calculate GCF of 705,2520
| 3 | 705, 2520 |
| 5 | 235, 840 |
| 47, 168 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 705,2520 By Matching Biggest Common Factor Method
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Now, list down the factors of 2520
:1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520
Greatest Common Factor
We found the factors 705,2520 . The biggest common factor number is the GCF number.
So the greatest common factor 705,2520 is 15.
Lets's calculate LCM of 854,606
| 2 | 854, 606 |
| 427, 303 |
∴ So the LCM of the given numbers is 2 x 427 x 303 = 258762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/258762
Therefore, the GCF of Fractions 705/854,2520/606 is 15/258762
Least Common Multiple of 854,606 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 854,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,606) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,606) x common factors =2 x 1 = 2
LCM(854,606) = ( 854 × 606 ) / 2
LCM(854,606) = 517524 / 2
LCM(854,606) = 258762
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FAQs on GCF of Fractions of 705/854, 2520/606
1. What is the HCF of 705,2520?
The HCF of 705,2520 is 15
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 705/854, 2520/606?
Answer: GCF of Numerators as per given numbers 705/854, 2520/606 is
GCF of Numerators i.e. for 705,2520 is 15
LCM of denominators i.e. for 854,606 is 258762.
Thus, GCF of Fractions is 15/258762.Finally, GCF of Fractions for 705/854, 2520/606 is 15/258762.