GCF of 3427/856, 7884/3906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3427/856, 7884/3906 i.e 1/1671768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3427/856, 7884/3906.
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 3427/856,7884/3906?
Given fractions are 3427/856,7884/3906
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 3427/856,7884/3906, numerators are 3427,7884
Denominators are 856,3906
The GCF of 3427,7884 is 1 .
LCM of 856,3906 is 1671768.
The greatest common factor of 3427/856,7884/3906 = [GCF of 3427,7884]/[LCM of 856,3906]= 1/1671768
Therefore, the GCF of 3427/856,7884/3906 is 1/1671768.
To find the highest common factor of 3427,7884, we have to find the factors of both numbers and list the highest common factor.
The factors of 3427 are 1, 23, 149, 3427
The factors of 7884 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884
The HCF of 3427,7884 is 1.
Lets's calculate GCF of 3427,7884
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3427,7884 By Matching Biggest Common Factor Method
Now, list down the factors of 3427
:1,23,149,3427
Now, list down the factors of 7884
:1,2,3,4,6,9,12,18,27,36,54,73,108,146,219,292,438,657,876,1314,1971,2628,3942,7884
Greatest Common Factor
We found the factors 3427,7884 . The biggest common factor number is the GCF number.
So the greatest common factor 3427,7884 is 1.
Lets's calculate LCM of 856,3906
| 2 | 856, 3906 |
| 428, 1953 |
∴ So the LCM of the given numbers is 2 x 428 x 1953 = 1671768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1671768
Therefore, the GCF of Fractions 3427/856,7884/3906 is 1/1671768
Least Common Multiple of 856,3906 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 856,3906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,3906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(856,3906) x common factors =2 x 1 = 2
LCM(856,3906) = ( 856 × 3906 ) / 2
LCM(856,3906) = 3343536 / 2
LCM(856,3906) = 1671768
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FAQs on GCF of Fractions of 3427/856, 7884/3906
1. What is the HCF of 3427,7884?
The HCF of 3427,7884 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 3427/856, 7884/3906?
Answer: GCF of Numerators as per given numbers 3427/856, 7884/3906 is
GCF of Numerators i.e. for 3427,7884 is 1
LCM of denominators i.e. for 856,3906 is 1671768.
Thus, GCF of Fractions is 1/1671768.Finally, GCF of Fractions for 3427/856, 7884/3906 is 1/1671768.