Highest Common Factor of 5336, 6726 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 5336, 6726 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5336, 6726 is 2 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 5336, 6726 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 5336, 6726 is 2.
HCF(5336, 6726) = 2
HCF of 5336, 6726 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5336, 6726 is 2.
Highest Common Factor of 5336,6726 is 2
Step 1: Since 6726 > 5336, we apply the division lemma to 6726 and 5336, to get
6726 = 5336 x 1 + 1390
Step 2: Since the reminder 5336 ≠ 0, we apply division lemma to 1390 and 5336, to get
5336 = 1390 x 3 + 1166
Step 3: We consider the new divisor 1390 and the new remainder 1166, and apply the division lemma to get
1390 = 1166 x 1 + 224
We consider the new divisor 1166 and the new remainder 224,and apply the division lemma to get
1166 = 224 x 5 + 46
We consider the new divisor 224 and the new remainder 46,and apply the division lemma to get
224 = 46 x 4 + 40
We consider the new divisor 46 and the new remainder 40,and apply the division lemma to get
46 = 40 x 1 + 6
We consider the new divisor 40 and the new remainder 6,and apply the division lemma to get
40 = 6 x 6 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5336 and 6726 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(40,6) = HCF(46,40) = HCF(224,46) = HCF(1166,224) = HCF(1390,1166) = HCF(5336,1390) = HCF(6726,5336) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5336, 6726 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 5336, 6726?
Answer: HCF of 5336, 6726 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5336, 6726 using Euclid's Algorithm?
Answer: For arbitrary numbers 5336, 6726 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.