Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5990, 4735 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5990, 4735 is 5 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 5990, 4735 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 5990, 4735 is 5.
HCF(5990, 4735) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5990, 4735 is 5.
Step 1: Since 5990 > 4735, we apply the division lemma to 5990 and 4735, to get
5990 = 4735 x 1 + 1255
Step 2: Since the reminder 4735 ≠ 0, we apply division lemma to 1255 and 4735, to get
4735 = 1255 x 3 + 970
Step 3: We consider the new divisor 1255 and the new remainder 970, and apply the division lemma to get
1255 = 970 x 1 + 285
We consider the new divisor 970 and the new remainder 285,and apply the division lemma to get
970 = 285 x 3 + 115
We consider the new divisor 285 and the new remainder 115,and apply the division lemma to get
285 = 115 x 2 + 55
We consider the new divisor 115 and the new remainder 55,and apply the division lemma to get
115 = 55 x 2 + 5
We consider the new divisor 55 and the new remainder 5,and apply the division lemma to get
55 = 5 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5990 and 4735 is 5
Notice that 5 = HCF(55,5) = HCF(115,55) = HCF(285,115) = HCF(970,285) = HCF(1255,970) = HCF(4735,1255) = HCF(5990,4735) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 5990, 4735?
Answer: HCF of 5990, 4735 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5990, 4735 using Euclid's Algorithm?
Answer: For arbitrary numbers 5990, 4735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.