GCF of 6887/880, 6860/5632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6887/880, 6860/5632 i.e 1/28160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6887/880, 6860/5632.
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 6887/880,6860/5632?
Given fractions are 6887/880,6860/5632
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 6887/880,6860/5632, numerators are 6887,6860
Denominators are 880,5632
The GCF of 6887,6860 is 1 .
LCM of 880,5632 is 28160.
The greatest common factor of 6887/880,6860/5632 = [GCF of 6887,6860]/[LCM of 880,5632]= 1/28160
Therefore, the GCF of 6887/880,6860/5632 is 1/28160.
To find the highest common factor of 6887,6860, we have to find the factors of both numbers and list the highest common factor.
The factors of 6887 are 1, 71, 97, 6887
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 HCF of 6887,6860 is 1.
Lets's calculate GCF of 6887,6860
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6887,6860 By Matching Biggest Common Factor Method
Now, list down the factors of 6887
:1,71,97,6887
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
Greatest Common Factor
We found the factors 6887,6860 . The biggest common factor number is the GCF number.
So the greatest common factor 6887,6860 is 1.
Lets's calculate LCM of 880,5632
| 2 | 880, 5632 |
| 2 | 440, 2816 |
| 2 | 220, 1408 |
| 2 | 110, 704 |
| 11 | 55, 352 |
| 5, 32 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 5 x 32 = 28160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28160
Therefore, the GCF of Fractions 6887/880,6860/5632 is 1/28160
Least Common Multiple of 880,5632 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 880,5632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,5632) = 176
common factors(in case of two or more numbers have common factors) = 1
GCF(880,5632) x common factors =176 x 1 = 176
LCM(880,5632) = ( 880 × 5632 ) / 176
LCM(880,5632) = 4956160 / 176
LCM(880,5632) = 28160
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FAQs on GCF of Fractions of 6887/880, 6860/5632
1. What is the HCF of 6887,6860?
The HCF of 6887,6860 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 6887/880, 6860/5632?
Answer: GCF of Numerators as per given numbers 6887/880, 6860/5632 is
GCF of Numerators i.e. for 6887,6860 is 1
LCM of denominators i.e. for 880,5632 is 28160.
Thus, GCF of Fractions is 1/28160.Finally, GCF of Fractions for 6887/880, 6860/5632 is 1/28160.