GCF of 654/99, 952/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 654/99, 952/538 i.e 2/53262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 654/99, 952/538.
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 654/99,952/538?
Given fractions are 654/99,952/538
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 654/99,952/538, numerators are 654,952
Denominators are 99,538
The GCF of 654,952 is 2 .
LCM of 99,538 is 53262.
The greatest common factor of 654/99,952/538 = [GCF of 654,952]/[LCM of 99,538]= 2/53262
Therefore, the GCF of 654/99,952/538 is 2/53262.
To find the highest common factor of 654,952, we have to find the factors of both numbers and list the highest common factor.
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
The HCF of 654,952 is 2.
Lets's calculate GCF of 654,952
| 2 | 654, 952 |
| 327, 476 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 654,952 By Matching Biggest Common Factor Method
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Now, list down the factors of 952
:1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 654,952 . The biggest common factor number is the GCF number.
So the greatest common factor 654,952 is 2.
Lets's calculate LCM of 99,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 53262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53262
Therefore, the GCF of Fractions 654/99,952/538 is 2/53262
Least Common Multiple of 99,538 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 99,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,538) x common factors =1 x 1 = 1
LCM(99,538) = ( 99 × 538 ) / 1
LCM(99,538) = 53262 / 1
LCM(99,538) = 53262
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FAQs on GCF of Fractions of 654/99, 952/538
1. What is the HCF of 654,952?
The HCF of 654,952 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 654/99, 952/538?
Answer: GCF of Numerators as per given numbers 654/99, 952/538 is
GCF of Numerators i.e. for 654,952 is 2
LCM of denominators i.e. for 99,538 is 53262.
Thus, GCF of Fractions is 2/53262.Finally, GCF of Fractions for 654/99, 952/538 is 2/53262.