GCF of 48/77, 50/79, 202/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/77, 50/79, 202/789 i.e 2/4799487 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/77, 50/79, 202/789.
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 48/77,50/79,202/789?
Given fractions are 48/77,50/79,202/789
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 48/77,50/79,202/789, numerators are 48,50,202
Denominators are 77,79,789
The GCF of 48,50,202 is 2 .
LCM of 77,79,789 is 4799487.
The greatest common factor of 48/77,50/79,202/789 = [GCF of 48,50,202]/[LCM of 77,79,789]= 2/4799487
Therefore, the GCF of 48/77,50/79,202/789 is 2/4799487.
To find the highest common factor of 48,50,202, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 202 are 1, 2, 101, 202
The HCF of 48,50,202 is 2.
Lets's calculate GCF of 48,50,202
| 2 | 48, 50, 202 |
| 24, 25, 101 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 48,50,202 By Matching Biggest Common Factor Method
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 48,50,202 . The biggest common factor number is the GCF number.
So the greatest common factor 48,50,202 is 2.
Lets's calculate LCM of 77,79,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 4799487
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4799487
Therefore, the GCF of Fractions 48/77,50/79,202/789 is 2/4799487
Least Common Multiple of 77,79,789 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 77,79,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,79,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,79,789) x common factors =1 x 1 = 1
LCM(77,79,789) = ( 77 × 79 × 789 ) / 1
LCM(77,79,789) = 4799487 / 1
LCM(77,79,789) = 4799487
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FAQs on GCF of Fractions of 48/77, 50/79, 202/789
1. What is the HCF of 48,50,202?
The HCF of 48,50,202 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 48/77, 50/79, 202/789?
Answer: GCF of Numerators as per given numbers 48/77, 50/79, 202/789 is
GCF of Numerators i.e. for 48,50,202 is 2
LCM of denominators i.e. for 77,79,789 is 4799487.
Thus, GCF of Fractions is 2/4799487.Finally, GCF of Fractions for 48/77, 50/79, 202/789 is 2/4799487.