GCF of 4702/265, 6804/5762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4702/265, 6804/5762 i.e 2/1526930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4702/265, 6804/5762.
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 4702/265,6804/5762?
Given fractions are 4702/265,6804/5762
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 4702/265,6804/5762, numerators are 4702,6804
Denominators are 265,5762
The GCF of 4702,6804 is 2 .
LCM of 265,5762 is 1526930.
The greatest common factor of 4702/265,6804/5762 = [GCF of 4702,6804]/[LCM of 265,5762]= 2/1526930
Therefore, the GCF of 4702/265,6804/5762 is 2/1526930.
To find the highest common factor of 4702,6804, we have to find the factors of both numbers and list the highest common factor.
The factors of 4702 are 1, 2, 2351, 4702
The factors of 6804 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804
The HCF of 4702,6804 is 2.
Lets's calculate GCF of 4702,6804
| 2 | 4702, 6804 |
| 2351, 3402 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4702,6804 By Matching Biggest Common Factor Method
Now, list down the factors of 4702
:1,2,2351,4702
Now, list down the factors of 6804
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804
Greatest Common Factor
We found the factors 4702,6804 . The biggest common factor number is the GCF number.
So the greatest common factor 4702,6804 is 2.
Lets's calculate LCM of 265,5762
Given numbers has no common factors except 1. So, there LCM is their product i.e 1526930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1526930
Therefore, the GCF of Fractions 4702/265,6804/5762 is 2/1526930
Least Common Multiple of 265,5762 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 265,5762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,5762) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(265,5762) x common factors =1 x 1 = 1
LCM(265,5762) = ( 265 × 5762 ) / 1
LCM(265,5762) = 1526930 / 1
LCM(265,5762) = 1526930
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FAQs on GCF of Fractions of 4702/265, 6804/5762
1. What is the HCF of 4702,6804?
The HCF of 4702,6804 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 4702/265, 6804/5762?
Answer: GCF of Numerators as per given numbers 4702/265, 6804/5762 is
GCF of Numerators i.e. for 4702,6804 is 2
LCM of denominators i.e. for 265,5762 is 1526930.
Thus, GCF of Fractions is 2/1526930.Finally, GCF of Fractions for 4702/265, 6804/5762 is 2/1526930.