GCF of 275/924, 5424/757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 275/924, 5424/757 i.e 1/699468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/924, 5424/757.
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 275/924,5424/757?
Given fractions are 275/924,5424/757
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 275/924,5424/757, numerators are 275,5424
Denominators are 924,757
The GCF of 275,5424 is 1 .
LCM of 924,757 is 699468.
The greatest common factor of 275/924,5424/757 = [GCF of 275,5424]/[LCM of 924,757]= 1/699468
Therefore, the GCF of 275/924,5424/757 is 1/699468.
To find the highest common factor of 275,5424, we have to find the factors of both numbers and list the highest common factor.
The factors of 275 are 1, 5, 11, 25, 55, 275
The factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424
The HCF of 275,5424 is 1.
Lets's calculate GCF of 275,5424
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 275,5424 By Matching Biggest Common Factor Method
Now, list down the factors of 275
:1,5,11,25,55,275
Now, list down the factors of 5424
:1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424
Greatest Common Factor
We found the factors 275,5424 . The biggest common factor number is the GCF number.
So the greatest common factor 275,5424 is 1.
Lets's calculate LCM of 924,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 699468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/699468
Therefore, the GCF of Fractions 275/924,5424/757 is 1/699468
Least Common Multiple of 924,757 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 924,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(924,757) x common factors =1 x 1 = 1
LCM(924,757) = ( 924 × 757 ) / 1
LCM(924,757) = 699468 / 1
LCM(924,757) = 699468
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FAQs on GCF of Fractions of 275/924, 5424/757
1. What is the HCF of 275,5424?
The HCF of 275,5424 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 275/924, 5424/757?
Answer: GCF of Numerators as per given numbers 275/924, 5424/757 is
GCF of Numerators i.e. for 275,5424 is 1
LCM of denominators i.e. for 924,757 is 699468.
Thus, GCF of Fractions is 1/699468.Finally, GCF of Fractions for 275/924, 5424/757 is 1/699468.