GCF of 1/52, 90/62, 75/547, 208/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1/52, 90/62, 75/547, 208/241 i.e 1/212505124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/52, 90/62, 75/547, 208/241.
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 1/52,90/62,75/547,208/241?
Given fractions are 1/52,90/62,75/547,208/241
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 1/52,90/62,75/547,208/241, numerators are 1,90,75,208
Denominators are 52,62,547,241
The GCF of 1,90,75,208 is 1 .
LCM of 52,62,547,241 is 212505124.
The greatest common factor of 1/52,90/62,75/547,208/241 = [GCF of 1,90,75,208]/[LCM of 52,62,547,241]= 1/212505124
Therefore, the GCF of 1/52,90/62,75/547,208/241 is 1/212505124.
To find the highest common factor of 1,90,75,208, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
The HCF of 1,90,75,208 is 1.
Lets's calculate GCF of 1,90,75,208
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1,90,75,208 By Matching Biggest Common Factor Method
Now, list down the factors of 1
:1
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 208
:1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 1,90,75,208 . The biggest common factor number is the GCF number.
So the greatest common factor 1,90,75,208 is 1.
Lets's calculate LCM of 52,62,547,241
| 2 | 52, 62, 547, 241 |
| 26, 31, 547, 241 |
∴ So the LCM of the given numbers is 2 x 26 x 31 x 547 x 241 = 212505124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212505124
Therefore, the GCF of Fractions 1/52,90/62,75/547,208/241 is 1/212505124
Least Common Multiple of 52,62,547,241 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 52,62,547,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,62,547,241) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(52,62,547,241) x common factors =1 x 2 = 2
LCM(52,62,547,241) = ( 52 × 62 × 547 × 241 ) / 2
LCM(52,62,547,241) = 425010248 / 2
LCM(52,62,547,241) = 212505124
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FAQs on GCF of Fractions of 1/52, 90/62, 75/547, 208/241
1. What is the HCF of 1,90,75,208?
The HCF of 1,90,75,208 is 1
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 1/52, 90/62, 75/547, 208/241?
Answer: GCF of Numerators as per given numbers 1/52, 90/62, 75/547, 208/241 is
GCF of Numerators i.e. for 1,90,75,208 is 1
LCM of denominators i.e. for 52,62,547,241 is 212505124.
Thus, GCF of Fractions is 1/212505124.Finally, GCF of Fractions for 1/52, 90/62, 75/547, 208/241 is 1/212505124.