GCF of 5396/575, 7896/1793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5396/575, 7896/1793 i.e 4/1030975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5396/575, 7896/1793.
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 5396/575,7896/1793?
Given fractions are 5396/575,7896/1793
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 5396/575,7896/1793, numerators are 5396,7896
Denominators are 575,1793
The GCF of 5396,7896 is 4 .
LCM of 575,1793 is 1030975.
The greatest common factor of 5396/575,7896/1793 = [GCF of 5396,7896]/[LCM of 575,1793]= 4/1030975
Therefore, the GCF of 5396/575,7896/1793 is 4/1030975.
To find the highest common factor of 5396,7896, we have to find the factors of both numbers and list the highest common factor.
The factors of 5396 are 1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396
The factors of 7896 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 56, 84, 94, 141, 168, 188, 282, 329, 376, 564, 658, 987, 1128, 1316, 1974, 2632, 3948, 7896
The HCF of 5396,7896 is 4.
Lets's calculate GCF of 5396,7896
| 2 | 5396, 7896 |
| 2 | 2698, 3948 |
| 1349, 1974 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5396,7896 By Matching Biggest Common Factor Method
Now, list down the factors of 5396
:1,2,4,19,38,71,76,142,284,1349,2698,5396
Now, list down the factors of 7896
:1,2,3,4,6,7,8,12,14,21,24,28,42,47,56,84,94,141,168,188,282,329,376,564,658,987,1128,1316,1974,2632,3948,7896
Greatest Common Factor
We found the factors 5396,7896 . The biggest common factor number is the GCF number.
So the greatest common factor 5396,7896 is 4.
Lets's calculate LCM of 575,1793
Given numbers has no common factors except 1. So, there LCM is their product i.e 1030975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1030975
Therefore, the GCF of Fractions 5396/575,7896/1793 is 4/1030975
Least Common Multiple of 575,1793 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 575,1793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,1793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,1793) x common factors =1 x 1 = 1
LCM(575,1793) = ( 575 × 1793 ) / 1
LCM(575,1793) = 1030975 / 1
LCM(575,1793) = 1030975
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FAQs on GCF of Fractions of 5396/575, 7896/1793
1. What is the HCF of 5396,7896?
The HCF of 5396,7896 is 4
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 5396/575, 7896/1793?
Answer: GCF of Numerators as per given numbers 5396/575, 7896/1793 is
GCF of Numerators i.e. for 5396,7896 is 4
LCM of denominators i.e. for 575,1793 is 1030975.
Thus, GCF of Fractions is 4/1030975.Finally, GCF of Fractions for 5396/575, 7896/1793 is 4/1030975.