GCF of 798/642, 309/776, 369/848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 798/642, 309/776, 369/848 i.e 3/26404176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 798/642, 309/776, 369/848.
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Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 798/642,309/776,369/848?
Given fractions are 798/642,309/776,369/848
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 798/642,309/776,369/848, numerators are 798,309,369
Denominators are 642,776,848
The GCF of 798,309,369 is 3 .
LCM of 642,776,848 is 26404176.
The greatest common factor of 798/642,309/776,369/848 = [GCF of 798,309,369]/[LCM of 642,776,848]= 3/26404176
Therefore, the GCF of 798/642,309/776,369/848 is 3/26404176.
To find the highest common factor of 798,309,369, we have to find the factors of both numbers and list the highest common factor.
The factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
The factors of 309 are 1, 3, 103, 309
The factors of 369 are 1, 3, 9, 41, 123, 369
The HCF of 798,309,369 is 3.
Lets's calculate GCF of 798,309,369
| 3 | 798, 309, 369 |
| 266, 103, 123 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 798,309,369 By Matching Biggest Common Factor Method
Now, list down the factors of 798
:1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Now, list down the factors of 309
:1,3,103,309
Now, list down the factors of 369
:1,3,9,41,123,369
Greatest Common Factor
We found the factors 798,309,369 . The biggest common factor number is the GCF number.
So the greatest common factor 798,309,369 is 3.
Lets's calculate LCM of 642,776,848
| 2 | 642, 776, 848 |
| 2 | 321, 388, 424 |
| 2 | 321, 194, 212 |
| 321, 97, 106 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 321 x 97 x 106 = 26404176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26404176
Therefore, the GCF of Fractions 798/642,309/776,369/848 is 3/26404176
Least Common Multiple of 642,776,848 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 642,776,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,776,848) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(642,776,848) x common factors =2 x 8 = 16
LCM(642,776,848) = ( 642 × 776 × 848 ) / 16
LCM(642,776,848) = 422466816 / 16
LCM(642,776,848) = 26404176
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FAQs on GCF of Fractions of 798/642, 309/776, 369/848
1. What is the HCF of 798,309,369?
The HCF of 798,309,369 is 3
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 798/642, 309/776, 369/848?
Answer: GCF of Numerators as per given numbers 798/642, 309/776, 369/848 is
GCF of Numerators i.e. for 798,309,369 is 3
LCM of denominators i.e. for 642,776,848 is 26404176.
Thus, GCF of Fractions is 3/26404176.Finally, GCF of Fractions for 798/642, 309/776, 369/848 is 3/26404176.