GCF of 3272/892, 1896/6758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3272/892, 1896/6758 i.e 8/3014068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3272/892, 1896/6758.
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 3272/892,1896/6758?
Given fractions are 3272/892,1896/6758
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 3272/892,1896/6758, numerators are 3272,1896
Denominators are 892,6758
The GCF of 3272,1896 is 8 .
LCM of 892,6758 is 3014068.
The greatest common factor of 3272/892,1896/6758 = [GCF of 3272,1896]/[LCM of 892,6758]= 8/3014068
Therefore, the GCF of 3272/892,1896/6758 is 8/3014068.
To find the highest common factor of 3272,1896, we have to find the factors of both numbers and list the highest common factor.
The factors of 3272 are 1, 2, 4, 8, 409, 818, 1636, 3272
The factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896
The HCF of 3272,1896 is 8.
Lets's calculate GCF of 3272,1896
| 2 | 3272, 1896 |
| 2 | 1636, 948 |
| 2 | 818, 474 |
| 409, 237 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3272,1896 By Matching Biggest Common Factor Method
Now, list down the factors of 3272
:1,2,4,8,409,818,1636,3272
Now, list down the factors of 1896
:1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896
Greatest Common Factor
We found the factors 3272,1896 . The biggest common factor number is the GCF number.
So the greatest common factor 3272,1896 is 8.
Lets's calculate LCM of 892,6758
| 2 | 892, 6758 |
| 446, 3379 |
∴ So the LCM of the given numbers is 2 x 446 x 3379 = 3014068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3014068
Therefore, the GCF of Fractions 3272/892,1896/6758 is 8/3014068
Least Common Multiple of 892,6758 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 892,6758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,6758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,6758) x common factors =2 x 1 = 2
LCM(892,6758) = ( 892 × 6758 ) / 2
LCM(892,6758) = 6028136 / 2
LCM(892,6758) = 3014068
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FAQs on GCF of Fractions of 3272/892, 1896/6758
1. What is the HCF of 3272,1896?
The HCF of 3272,1896 is 8
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 3272/892, 1896/6758?
Answer: GCF of Numerators as per given numbers 3272/892, 1896/6758 is
GCF of Numerators i.e. for 3272,1896 is 8
LCM of denominators i.e. for 892,6758 is 3014068.
Thus, GCF of Fractions is 8/3014068.Finally, GCF of Fractions for 3272/892, 1896/6758 is 8/3014068.