GCF of 5462/532, 1972/617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5462/532, 1972/617 i.e 2/328244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5462/532, 1972/617.
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 5462/532,1972/617?
Given fractions are 5462/532,1972/617
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 5462/532,1972/617, numerators are 5462,1972
Denominators are 532,617
The GCF of 5462,1972 is 2 .
LCM of 532,617 is 328244.
The greatest common factor of 5462/532,1972/617 = [GCF of 5462,1972]/[LCM of 532,617]= 2/328244
Therefore, the GCF of 5462/532,1972/617 is 2/328244.
To find the highest common factor of 5462,1972, we have to find the factors of both numbers and list the highest common factor.
The factors of 5462 are 1, 2, 2731, 5462
The factors of 1972 are 1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 986, 1972
The HCF of 5462,1972 is 2.
Lets's calculate GCF of 5462,1972
| 2 | 5462, 1972 |
| 2731, 986 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5462,1972 By Matching Biggest Common Factor Method
Now, list down the factors of 5462
:1,2,2731,5462
Now, list down the factors of 1972
:1,2,4,17,29,34,58,68,116,493,986,1972
Greatest Common Factor
We found the factors 5462,1972 . The biggest common factor number is the GCF number.
So the greatest common factor 5462,1972 is 2.
Lets's calculate LCM of 532,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 328244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/328244
Therefore, the GCF of Fractions 5462/532,1972/617 is 2/328244
Least Common Multiple of 532,617 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 532,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(532,617) x common factors =1 x 1 = 1
LCM(532,617) = ( 532 × 617 ) / 1
LCM(532,617) = 328244 / 1
LCM(532,617) = 328244
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FAQs on GCF of Fractions of 5462/532, 1972/617
1. What is the HCF of 5462,1972?
The HCF of 5462,1972 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 5462/532, 1972/617?
Answer: GCF of Numerators as per given numbers 5462/532, 1972/617 is
GCF of Numerators i.e. for 5462,1972 is 2
LCM of denominators i.e. for 532,617 is 328244.
Thus, GCF of Fractions is 2/328244.Finally, GCF of Fractions for 5462/532, 1972/617 is 2/328244.