GCF of 532/122, 874/546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 532/122, 874/546 i.e 38/33306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/122, 874/546.
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 532/122,874/546?
Given fractions are 532/122,874/546
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 532/122,874/546, numerators are 532,874
Denominators are 122,546
The GCF of 532,874 is 38 .
LCM of 122,546 is 33306.
The greatest common factor of 532/122,874/546 = [GCF of 532,874]/[LCM of 122,546]= 38/33306
Therefore, the GCF of 532/122,874/546 is 38/33306.
To find the highest common factor of 532,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 532,874 is 38.
Lets's calculate GCF of 532,874
| 2 | 532, 874 |
| 19 | 266, 437 |
| 14, 23 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 532,874 By Matching Biggest Common Factor Method
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 532,874 . The biggest common factor number is the GCF number.
So the greatest common factor 532,874 is 38.
Lets's calculate LCM of 122,546
| 2 | 122, 546 |
| 61, 273 |
∴ So the LCM of the given numbers is 2 x 61 x 273 = 33306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/33306
Therefore, the GCF of Fractions 532/122,874/546 is 38/33306
Least Common Multiple of 122,546 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 122,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,546) x common factors =2 x 1 = 2
LCM(122,546) = ( 122 × 546 ) / 2
LCM(122,546) = 66612 / 2
LCM(122,546) = 33306
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FAQs on GCF of Fractions of 532/122, 874/546
1. What is the HCF of 532,874?
The HCF of 532,874 is 38
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 532/122, 874/546?
Answer: GCF of Numerators as per given numbers 532/122, 874/546 is
GCF of Numerators i.e. for 532,874 is 38
LCM of denominators i.e. for 122,546 is 33306.
Thus, GCF of Fractions is 38/33306.Finally, GCF of Fractions for 532/122, 874/546 is 38/33306.