GCF of 8072/378, 5428/8802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8072/378, 5428/8802 i.e 4/61614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8072/378, 5428/8802.
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 8072/378,5428/8802?
Given fractions are 8072/378,5428/8802
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 8072/378,5428/8802, numerators are 8072,5428
Denominators are 378,8802
The GCF of 8072,5428 is 4 .
LCM of 378,8802 is 61614.
The greatest common factor of 8072/378,5428/8802 = [GCF of 8072,5428]/[LCM of 378,8802]= 4/61614
Therefore, the GCF of 8072/378,5428/8802 is 4/61614.
To find the highest common factor of 8072,5428, we have to find the factors of both numbers and list the highest common factor.
The factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072
The factors of 5428 are 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428
The HCF of 8072,5428 is 4.
Lets's calculate GCF of 8072,5428
| 2 | 8072, 5428 |
| 2 | 4036, 2714 |
| 2018, 1357 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8072,5428 By Matching Biggest Common Factor Method
Now, list down the factors of 8072
:1,2,4,8,1009,2018,4036,8072
Now, list down the factors of 5428
:1,2,4,23,46,59,92,118,236,1357,2714,5428
Greatest Common Factor
We found the factors 8072,5428 . The biggest common factor number is the GCF number.
So the greatest common factor 8072,5428 is 4.
Lets's calculate LCM of 378,8802
| 2 | 378, 8802 |
| 3 | 189, 4401 |
| 3 | 63, 1467 |
| 3 | 21, 489 |
| 7, 163 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 163 = 61614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/61614
Therefore, the GCF of Fractions 8072/378,5428/8802 is 4/61614
Least Common Multiple of 378,8802 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 378,8802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,8802) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(378,8802) x common factors =54 x 1 = 54
LCM(378,8802) = ( 378 × 8802 ) / 54
LCM(378,8802) = 3327156 / 54
LCM(378,8802) = 61614
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FAQs on GCF of Fractions of 8072/378, 5428/8802
1. What is the HCF of 8072,5428?
The HCF of 8072,5428 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 8072/378, 5428/8802?
Answer: GCF of Numerators as per given numbers 8072/378, 5428/8802 is
GCF of Numerators i.e. for 8072,5428 is 4
LCM of denominators i.e. for 378,8802 is 61614.
Thus, GCF of Fractions is 4/61614.Finally, GCF of Fractions for 8072/378, 5428/8802 is 4/61614.