GCF of 6860/136, 1562/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6860/136, 1562/384 i.e 2/6528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6860/136, 1562/384.
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 6860/136,1562/384?
Given fractions are 6860/136,1562/384
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 6860/136,1562/384, numerators are 6860,1562
Denominators are 136,384
The GCF of 6860,1562 is 2 .
LCM of 136,384 is 6528.
The greatest common factor of 6860/136,1562/384 = [GCF of 6860,1562]/[LCM of 136,384]= 2/6528
Therefore, the GCF of 6860/136,1562/384 is 2/6528.
To find the highest common factor of 6860,1562, we have to find the factors of both numbers and list the highest common factor.
The factors of 6860 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860
The factors of 1562 are 1, 2, 11, 22, 71, 142, 781, 1562
The HCF of 6860,1562 is 2.
Lets's calculate GCF of 6860,1562
| 2 | 6860, 1562 |
| 3430, 781 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6860,1562 By Matching Biggest Common Factor Method
Now, list down the factors of 6860
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860
Now, list down the factors of 1562
:1,2,11,22,71,142,781,1562
Greatest Common Factor
We found the factors 6860,1562 . The biggest common factor number is the GCF number.
So the greatest common factor 6860,1562 is 2.
Lets's calculate LCM of 136,384
| 2 | 136, 384 |
| 2 | 68, 192 |
| 2 | 34, 96 |
| 17, 48 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 48 = 6528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6528
Therefore, the GCF of Fractions 6860/136,1562/384 is 2/6528
Least Common Multiple of 136,384 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 136,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,384) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(136,384) x common factors =8 x 1 = 8
LCM(136,384) = ( 136 × 384 ) / 8
LCM(136,384) = 52224 / 8
LCM(136,384) = 6528
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FAQs on GCF of Fractions of 6860/136, 1562/384
1. What is the HCF of 6860,1562?
The HCF of 6860,1562 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 6860/136, 1562/384?
Answer: GCF of Numerators as per given numbers 6860/136, 1562/384 is
GCF of Numerators i.e. for 6860,1562 is 2
LCM of denominators i.e. for 136,384 is 6528.
Thus, GCF of Fractions is 2/6528.Finally, GCF of Fractions for 6860/136, 1562/384 is 2/6528.