GCF of 7803/281, 2142/6770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7803/281, 2142/6770 i.e 153/1902370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7803/281, 2142/6770.
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 7803/281,2142/6770?
Given fractions are 7803/281,2142/6770
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 7803/281,2142/6770, numerators are 7803,2142
Denominators are 281,6770
The GCF of 7803,2142 is 153 .
LCM of 281,6770 is 1902370.
The greatest common factor of 7803/281,2142/6770 = [GCF of 7803,2142]/[LCM of 281,6770]= 153/1902370
Therefore, the GCF of 7803/281,2142/6770 is 153/1902370.
To find the highest common factor of 7803,2142, we have to find the factors of both numbers and list the highest common factor.
The factors of 7803 are 1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The HCF of 7803,2142 is 153.
Lets's calculate GCF of 7803,2142
| 3 | 7803, 2142 |
| 3 | 2601, 714 |
| 17 | 867, 238 |
| 51, 14 |
∴ So the GCF of the given numbers is 3 x 3 x 17 = 153
Greatest Common Factor of 7803,2142 By Matching Biggest Common Factor Method
Now, list down the factors of 7803
:1,3,9,17,27,51,153,289,459,867,2601,7803
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Greatest Common Factor
We found the factors 7803,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 7803,2142 is 153.
Lets's calculate LCM of 281,6770
Given numbers has no common factors except 1. So, there LCM is their product i.e 1902370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 153/1902370
Therefore, the GCF of Fractions 7803/281,2142/6770 is 153/1902370
Least Common Multiple of 281,6770 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 281,6770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,6770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,6770) x common factors =1 x 1 = 1
LCM(281,6770) = ( 281 × 6770 ) / 1
LCM(281,6770) = 1902370 / 1
LCM(281,6770) = 1902370
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FAQs on GCF of Fractions of 7803/281, 2142/6770
1. What is the HCF of 7803,2142?
The HCF of 7803,2142 is 153
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 7803/281, 2142/6770?
Answer: GCF of Numerators as per given numbers 7803/281, 2142/6770 is
GCF of Numerators i.e. for 7803,2142 is 153
LCM of denominators i.e. for 281,6770 is 1902370.
Thus, GCF of Fractions is 153/1902370.Finally, GCF of Fractions for 7803/281, 2142/6770 is 153/1902370.