Highest Common Factor of 5016, 7226 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 5016, 7226 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5016, 7226 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 5016, 7226 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 5016, 7226 is 2.
HCF(5016, 7226) = 2
HCF of 5016, 7226 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5016, 7226 is 2.
Highest Common Factor of 5016,7226 is 2
Step 1: Since 7226 > 5016, we apply the division lemma to 7226 and 5016, to get
7226 = 5016 x 1 + 2210
Step 2: Since the reminder 5016 ≠ 0, we apply division lemma to 2210 and 5016, to get
5016 = 2210 x 2 + 596
Step 3: We consider the new divisor 2210 and the new remainder 596, and apply the division lemma to get
2210 = 596 x 3 + 422
We consider the new divisor 596 and the new remainder 422,and apply the division lemma to get
596 = 422 x 1 + 174
We consider the new divisor 422 and the new remainder 174,and apply the division lemma to get
422 = 174 x 2 + 74
We consider the new divisor 174 and the new remainder 74,and apply the division lemma to get
174 = 74 x 2 + 26
We consider the new divisor 74 and the new remainder 26,and apply the division lemma to get
74 = 26 x 2 + 22
We consider the new divisor 26 and the new remainder 22,and apply the division lemma to get
26 = 22 x 1 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 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 5016 and 7226 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(26,22) = HCF(74,26) = HCF(174,74) = HCF(422,174) = HCF(596,422) = HCF(2210,596) = HCF(5016,2210) = HCF(7226,5016) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5016, 7226 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 5016, 7226?
Answer: HCF of 5016, 7226 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5016, 7226 using Euclid's Algorithm?
Answer: For arbitrary numbers 5016, 7226 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.