GCF of 5888/867, 3978/820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5888/867, 3978/820 i.e 2/710940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5888/867, 3978/820.
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 5888/867,3978/820?
Given fractions are 5888/867,3978/820
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 5888/867,3978/820, numerators are 5888,3978
Denominators are 867,820
The GCF of 5888,3978 is 2 .
LCM of 867,820 is 710940.
The greatest common factor of 5888/867,3978/820 = [GCF of 5888,3978]/[LCM of 867,820]= 2/710940
Therefore, the GCF of 5888/867,3978/820 is 2/710940.
To find the highest common factor of 5888,3978, we have to find the factors of both numbers and list the highest common factor.
The factors of 5888 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 736, 1472, 2944, 5888
The factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978
The HCF of 5888,3978 is 2.
Lets's calculate GCF of 5888,3978
| 2 | 5888, 3978 |
| 2944, 1989 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5888,3978 By Matching Biggest Common Factor Method
Now, list down the factors of 5888
:1,2,4,8,16,23,32,46,64,92,128,184,256,368,736,1472,2944,5888
Now, list down the factors of 3978
:1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978
Greatest Common Factor
We found the factors 5888,3978 . The biggest common factor number is the GCF number.
So the greatest common factor 5888,3978 is 2.
Lets's calculate LCM of 867,820
Given numbers has no common factors except 1. So, there LCM is their product i.e 710940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/710940
Therefore, the GCF of Fractions 5888/867,3978/820 is 2/710940
Least Common Multiple of 867,820 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 867,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,820) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,820) x common factors =1 x 1 = 1
LCM(867,820) = ( 867 × 820 ) / 1
LCM(867,820) = 710940 / 1
LCM(867,820) = 710940
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FAQs on GCF of Fractions of 5888/867, 3978/820
1. What is the HCF of 5888,3978?
The HCF of 5888,3978 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 5888/867, 3978/820?
Answer: GCF of Numerators as per given numbers 5888/867, 3978/820 is
GCF of Numerators i.e. for 5888,3978 is 2
LCM of denominators i.e. for 867,820 is 710940.
Thus, GCF of Fractions is 2/710940.Finally, GCF of Fractions for 5888/867, 3978/820 is 2/710940.