GCF of 6877/302, 3792/6812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6877/302, 3792/6812 i.e 1/1028612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6877/302, 3792/6812.
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 6877/302,3792/6812?
Given fractions are 6877/302,3792/6812
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 6877/302,3792/6812, numerators are 6877,3792
Denominators are 302,6812
The GCF of 6877,3792 is 1 .
LCM of 302,6812 is 1028612.
The greatest common factor of 6877/302,3792/6812 = [GCF of 6877,3792]/[LCM of 302,6812]= 1/1028612
Therefore, the GCF of 6877/302,3792/6812 is 1/1028612.
To find the highest common factor of 6877,3792, we have to find the factors of both numbers and list the highest common factor.
The factors of 6877 are 1, 13, 23, 299, 529, 6877
The factors of 3792 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896, 3792
The HCF of 6877,3792 is 1.
Lets's calculate GCF of 6877,3792
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6877,3792 By Matching Biggest Common Factor Method
Now, list down the factors of 6877
:1,13,23,299,529,6877
Now, list down the factors of 3792
:1,2,3,4,6,8,12,16,24,48,79,158,237,316,474,632,948,1264,1896,3792
Greatest Common Factor
We found the factors 6877,3792 . The biggest common factor number is the GCF number.
So the greatest common factor 6877,3792 is 1.
Lets's calculate LCM of 302,6812
| 2 | 302, 6812 |
| 151, 3406 |
∴ So the LCM of the given numbers is 2 x 151 x 3406 = 1028612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1028612
Therefore, the GCF of Fractions 6877/302,3792/6812 is 1/1028612
Least Common Multiple of 302,6812 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 302,6812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,6812) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,6812) x common factors =2 x 1 = 2
LCM(302,6812) = ( 302 × 6812 ) / 2
LCM(302,6812) = 2057224 / 2
LCM(302,6812) = 1028612
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FAQs on GCF of Fractions of 6877/302, 3792/6812
1. What is the HCF of 6877,3792?
The HCF of 6877,3792 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 6877/302, 3792/6812?
Answer: GCF of Numerators as per given numbers 6877/302, 3792/6812 is
GCF of Numerators i.e. for 6877,3792 is 1
LCM of denominators i.e. for 302,6812 is 1028612.
Thus, GCF of Fractions is 1/1028612.Finally, GCF of Fractions for 6877/302, 3792/6812 is 1/1028612.