GCF of 535/131, 352/447, 625/924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 535/131, 352/447, 625/924 i.e 1/18035556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 535/131, 352/447, 625/924.
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 535/131,352/447,625/924?
Given fractions are 535/131,352/447,625/924
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 535/131,352/447,625/924, numerators are 535,352,625
Denominators are 131,447,924
The GCF of 535,352,625 is 1 .
LCM of 131,447,924 is 18035556.
The greatest common factor of 535/131,352/447,625/924 = [GCF of 535,352,625]/[LCM of 131,447,924]= 1/18035556
Therefore, the GCF of 535/131,352/447,625/924 is 1/18035556.
To find the highest common factor of 535,352,625, we have to find the factors of both numbers and list the highest common factor.
The factors of 535 are 1, 5, 107, 535
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The factors of 625 are 1, 5, 25, 125, 625
The HCF of 535,352,625 is 1.
Lets's calculate GCF of 535,352,625
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 535,352,625 By Matching Biggest Common Factor Method
Now, list down the factors of 535
:1,5,107,535
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Now, list down the factors of 625
:1,5,25,125,625
Greatest Common Factor
We found the factors 535,352,625 . The biggest common factor number is the GCF number.
So the greatest common factor 535,352,625 is 1.
Lets's calculate LCM of 131,447,924
| 3 | 131, 447, 924 |
| 131, 149, 308 |
∴ So the LCM of the given numbers is 3 x 131 x 149 x 308 = 18035556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18035556
Therefore, the GCF of Fractions 535/131,352/447,625/924 is 1/18035556
Least Common Multiple of 131,447,924 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 131,447,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,447,924) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(131,447,924) x common factors =1 x 3 = 3
LCM(131,447,924) = ( 131 × 447 × 924 ) / 3
LCM(131,447,924) = 54106668 / 3
LCM(131,447,924) = 18035556
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FAQs on GCF of Fractions of 535/131, 352/447, 625/924
1. What is the HCF of 535,352,625?
The HCF of 535,352,625 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 535/131, 352/447, 625/924?
Answer: GCF of Numerators as per given numbers 535/131, 352/447, 625/924 is
GCF of Numerators i.e. for 535,352,625 is 1
LCM of denominators i.e. for 131,447,924 is 18035556.
Thus, GCF of Fractions is 1/18035556.Finally, GCF of Fractions for 535/131, 352/447, 625/924 is 1/18035556.