GCF of 860/596, 840/210, 281/308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 860/596, 840/210, 281/308 i.e 1/688380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/596, 840/210, 281/308.
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 860/596,840/210,281/308?
Given fractions are 860/596,840/210,281/308
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 860/596,840/210,281/308, numerators are 860,840,281
Denominators are 596,210,308
The GCF of 860,840,281 is 1 .
LCM of 596,210,308 is 688380.
The greatest common factor of 860/596,840/210,281/308 = [GCF of 860,840,281]/[LCM of 596,210,308]= 1/688380
Therefore, the GCF of 860/596,840/210,281/308 is 1/688380.
To find the highest common factor of 860,840,281, we have to find the factors of both numbers and list the highest common factor.
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
The factors of 281 are 1, 281
The HCF of 860,840,281 is 1.
Lets's calculate GCF of 860,840,281
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 860,840,281 By Matching Biggest Common Factor Method
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Now, list down the factors of 840
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Now, list down the factors of 281
:1,281
Greatest Common Factor
We found the factors 860,840,281 . The biggest common factor number is the GCF number.
So the greatest common factor 860,840,281 is 1.
Lets's calculate LCM of 596,210,308
| 2 | 596, 210, 308 |
| 2 | 298, 105, 154 |
| 7 | 149, 105, 77 |
| 149, 15, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 149 x 15 x 11 = 688380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/688380
Therefore, the GCF of Fractions 860/596,840/210,281/308 is 1/688380
Least Common Multiple of 596,210,308 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 596,210,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,210,308) = 2
common factors(in case of two or more numbers have common factors) = 28
GCF(596,210,308) x common factors =2 x 28 = 56
LCM(596,210,308) = ( 596 × 210 × 308 ) / 56
LCM(596,210,308) = 38549280 / 56
LCM(596,210,308) = 688380
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 860/596, 840/210, 281/308
1. What is the HCF of 860,840,281?
The HCF of 860,840,281 is 1
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 860/596, 840/210, 281/308?
Answer: GCF of Numerators as per given numbers 860/596, 840/210, 281/308 is
GCF of Numerators i.e. for 860,840,281 is 1
LCM of denominators i.e. for 596,210,308 is 688380.
Thus, GCF of Fractions is 1/688380.Finally, GCF of Fractions for 860/596, 840/210, 281/308 is 1/688380.