GCF of 6/77, 80/24, 24/704, 254/548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6/77, 80/24, 24/704, 254/548 i.e 2/2025408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/77, 80/24, 24/704, 254/548.
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 6/77,80/24,24/704,254/548?
Given fractions are 6/77,80/24,24/704,254/548
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 6/77,80/24,24/704,254/548, numerators are 6,80,24,254
Denominators are 77,24,704,548
The GCF of 6,80,24,254 is 2 .
LCM of 77,24,704,548 is 2025408.
The greatest common factor of 6/77,80/24,24/704,254/548 = [GCF of 6,80,24,254]/[LCM of 77,24,704,548]= 2/2025408
Therefore, the GCF of 6/77,80/24,24/704,254/548 is 2/2025408.
To find the highest common factor of 6,80,24,254, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 254 are 1, 2, 127, 254
The HCF of 6,80,24,254 is 2.
Lets's calculate GCF of 6,80,24,254
| 2 | 6, 80, 24, 254 |
| 3, 40, 12, 127 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6,80,24,254 By Matching Biggest Common Factor Method
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 254
:1,2,127,254
Greatest Common Factor
We found the factors 6,80,24,254 . The biggest common factor number is the GCF number.
So the greatest common factor 6,80,24,254 is 2.
Lets's calculate LCM of 77,24,704,548
| 2 | 77, 24, 704, 548 |
| 2 | 77, 12, 352, 274 |
| 2 | 77, 6, 176, 137 |
| 11 | 77, 3, 88, 137 |
| 7, 3, 8, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 3 x 8 x 137 = 2025408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2025408
Therefore, the GCF of Fractions 6/77,80/24,24/704,254/548 is 2/2025408
Least Common Multiple of 77,24,704,548 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 77,24,704,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,24,704,548) = 1
common factors(in case of two or more numbers have common factors) = 352
GCF(77,24,704,548) x common factors =1 x 352 = 352
LCM(77,24,704,548) = ( 77 × 24 × 704 × 548 ) / 352
LCM(77,24,704,548) = 712943616 / 352
LCM(77,24,704,548) = 2025408
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6/77, 80/24, 24/704, 254/548
1. What is the HCF of 6,80,24,254?
The HCF of 6,80,24,254 is 2
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 6/77, 80/24, 24/704, 254/548?
Answer: GCF of Numerators as per given numbers 6/77, 80/24, 24/704, 254/548 is
GCF of Numerators i.e. for 6,80,24,254 is 2
LCM of denominators i.e. for 77,24,704,548 is 2025408.
Thus, GCF of Fractions is 2/2025408.Finally, GCF of Fractions for 6/77, 80/24, 24/704, 254/548 is 2/2025408.