GCF of 5236/448, 1771/508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5236/448, 1771/508 i.e 77/56896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5236/448, 1771/508.
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 5236/448,1771/508?
Given fractions are 5236/448,1771/508
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 5236/448,1771/508, numerators are 5236,1771
Denominators are 448,508
The GCF of 5236,1771 is 77 .
LCM of 448,508 is 56896.
The greatest common factor of 5236/448,1771/508 = [GCF of 5236,1771]/[LCM of 448,508]= 77/56896
Therefore, the GCF of 5236/448,1771/508 is 77/56896.
To find the highest common factor of 5236,1771, we have to find the factors of both numbers and list the highest common factor.
The factors of 5236 are 1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618, 5236
The factors of 1771 are 1, 7, 11, 23, 77, 161, 253, 1771
The HCF of 5236,1771 is 77.
Lets's calculate GCF of 5236,1771
| 7 | 5236, 1771 |
| 11 | 748, 253 |
| 68, 23 |
∴ So the GCF of the given numbers is 7 x 11 = 77
Greatest Common Factor of 5236,1771 By Matching Biggest Common Factor Method
Now, list down the factors of 5236
:1,2,4,7,11,14,17,22,28,34,44,68,77,119,154,187,238,308,374,476,748,1309,2618,5236
Now, list down the factors of 1771
:1,7,11,23,77,161,253,1771
Greatest Common Factor
We found the factors 5236,1771 . The biggest common factor number is the GCF number.
So the greatest common factor 5236,1771 is 77.
Lets's calculate LCM of 448,508
| 2 | 448, 508 |
| 2 | 224, 254 |
| 112, 127 |
∴ So the LCM of the given numbers is 2 x 2 x 112 x 127 = 56896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/56896
Therefore, the GCF of Fractions 5236/448,1771/508 is 77/56896
Least Common Multiple of 448,508 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 448,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,508) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(448,508) x common factors =4 x 1 = 4
LCM(448,508) = ( 448 × 508 ) / 4
LCM(448,508) = 227584 / 4
LCM(448,508) = 56896
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FAQs on GCF of Fractions of 5236/448, 1771/508
1. What is the HCF of 5236,1771?
The HCF of 5236,1771 is 77
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 5236/448, 1771/508?
Answer: GCF of Numerators as per given numbers 5236/448, 1771/508 is
GCF of Numerators i.e. for 5236,1771 is 77
LCM of denominators i.e. for 448,508 is 56896.
Thus, GCF of Fractions is 77/56896.Finally, GCF of Fractions for 5236/448, 1771/508 is 77/56896.