GCF of 4764/298, 6768/4841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4764/298, 6768/4841 i.e 12/1442618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4764/298, 6768/4841.
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 4764/298,6768/4841?
Given fractions are 4764/298,6768/4841
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 4764/298,6768/4841, numerators are 4764,6768
Denominators are 298,4841
The GCF of 4764,6768 is 12 .
LCM of 298,4841 is 1442618.
The greatest common factor of 4764/298,6768/4841 = [GCF of 4764,6768]/[LCM of 298,4841]= 12/1442618
Therefore, the GCF of 4764/298,6768/4841 is 12/1442618.
To find the highest common factor of 4764,6768, we have to find the factors of both numbers and list the highest common factor.
The factors of 4764 are 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764
The factors of 6768 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 47, 48, 72, 94, 141, 144, 188, 282, 376, 423, 564, 752, 846, 1128, 1692, 2256, 3384, 6768
The HCF of 4764,6768 is 12.
Lets's calculate GCF of 4764,6768
| 2 | 4764, 6768 |
| 2 | 2382, 3384 |
| 3 | 1191, 1692 |
| 397, 564 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4764,6768 By Matching Biggest Common Factor Method
Now, list down the factors of 4764
:1,2,3,4,6,12,397,794,1191,1588,2382,4764
Now, list down the factors of 6768
:1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768
Greatest Common Factor
We found the factors 4764,6768 . The biggest common factor number is the GCF number.
So the greatest common factor 4764,6768 is 12.
Lets's calculate LCM of 298,4841
Given numbers has no common factors except 1. So, there LCM is their product i.e 1442618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1442618
Therefore, the GCF of Fractions 4764/298,6768/4841 is 12/1442618
Least Common Multiple of 298,4841 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 298,4841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,4841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,4841) x common factors =1 x 1 = 1
LCM(298,4841) = ( 298 × 4841 ) / 1
LCM(298,4841) = 1442618 / 1
LCM(298,4841) = 1442618
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FAQs on GCF of Fractions of 4764/298, 6768/4841
1. What is the HCF of 4764,6768?
The HCF of 4764,6768 is 12
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 4764/298, 6768/4841?
Answer: GCF of Numerators as per given numbers 4764/298, 6768/4841 is
GCF of Numerators i.e. for 4764,6768 is 12
LCM of denominators i.e. for 298,4841 is 1442618.
Thus, GCF of Fractions is 12/1442618.Finally, GCF of Fractions for 4764/298, 6768/4841 is 12/1442618.