GCF of 6678/228, 7119/7701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6678/228, 7119/7701 i.e 63/585276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6678/228, 7119/7701.
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 6678/228,7119/7701?
Given fractions are 6678/228,7119/7701
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 6678/228,7119/7701, numerators are 6678,7119
Denominators are 228,7701
The GCF of 6678,7119 is 63 .
LCM of 228,7701 is 585276.
The greatest common factor of 6678/228,7119/7701 = [GCF of 6678,7119]/[LCM of 228,7701]= 63/585276
Therefore, the GCF of 6678/228,7119/7701 is 63/585276.
To find the highest common factor of 6678,7119, we have to find the factors of both numbers and list the highest common factor.
The factors of 6678 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678
The factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119
The HCF of 6678,7119 is 63.
Lets's calculate GCF of 6678,7119
| 3 | 6678, 7119 |
| 3 | 2226, 2373 |
| 7 | 742, 791 |
| 106, 113 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Greatest Common Factor of 6678,7119 By Matching Biggest Common Factor Method
Now, list down the factors of 6678
:1,2,3,6,7,9,14,18,21,42,53,63,106,126,159,318,371,477,742,954,1113,2226,3339,6678
Now, list down the factors of 7119
:1,3,7,9,21,63,113,339,791,1017,2373,7119
Greatest Common Factor
We found the factors 6678,7119 . The biggest common factor number is the GCF number.
So the greatest common factor 6678,7119 is 63.
Lets's calculate LCM of 228,7701
| 3 | 228, 7701 |
| 76, 2567 |
∴ So the LCM of the given numbers is 3 x 76 x 2567 = 585276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/585276
Therefore, the GCF of Fractions 6678/228,7119/7701 is 63/585276
Least Common Multiple of 228,7701 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 228,7701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,7701) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(228,7701) x common factors =3 x 1 = 3
LCM(228,7701) = ( 228 × 7701 ) / 3
LCM(228,7701) = 1755828 / 3
LCM(228,7701) = 585276
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FAQs on GCF of Fractions of 6678/228, 7119/7701
1. What is the HCF of 6678,7119?
The HCF of 6678,7119 is 63
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 6678/228, 7119/7701?
Answer: GCF of Numerators as per given numbers 6678/228, 7119/7701 is
GCF of Numerators i.e. for 6678,7119 is 63
LCM of denominators i.e. for 228,7701 is 585276.
Thus, GCF of Fractions is 63/585276.Finally, GCF of Fractions for 6678/228, 7119/7701 is 63/585276.