Highest Common Factor of 5916, 5611 using Euclid's algorithm
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 5916, 5611 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5916, 5611 is 1 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 5916, 5611 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 5916, 5611 is 1.
HCF(5916, 5611) = 1
HCF of 5916, 5611 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5916, 5611 is 1.
Highest Common Factor of 5916,5611 is 1
Step 1: Since 5916 > 5611, we apply the division lemma to 5916 and 5611, to get
5916 = 5611 x 1 + 305
Step 2: Since the reminder 5611 ≠ 0, we apply division lemma to 305 and 5611, to get
5611 = 305 x 18 + 121
Step 3: We consider the new divisor 305 and the new remainder 121, and apply the division lemma to get
305 = 121 x 2 + 63
We consider the new divisor 121 and the new remainder 63,and apply the division lemma to get
121 = 63 x 1 + 58
We consider the new divisor 63 and the new remainder 58,and apply the division lemma to get
63 = 58 x 1 + 5
We consider the new divisor 58 and the new remainder 5,and apply the division lemma to get
58 = 5 x 11 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5916 and 5611 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(58,5) = HCF(63,58) = HCF(121,63) = HCF(305,121) = HCF(5611,305) = HCF(5916,5611) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5916, 5611 using Euclid's Algorithm
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 5916, 5611?
Answer: HCF of 5916, 5611 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5916, 5611 using Euclid's Algorithm?
Answer: For arbitrary numbers 5916, 5611 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.