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 5226, 9537 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5226, 9537 is 3 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 5226, 9537 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 5226, 9537 is 3.
HCF(5226, 9537) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5226, 9537 is 3.
Step 1: Since 9537 > 5226, we apply the division lemma to 9537 and 5226, to get
9537 = 5226 x 1 + 4311
Step 2: Since the reminder 5226 ≠ 0, we apply division lemma to 4311 and 5226, to get
5226 = 4311 x 1 + 915
Step 3: We consider the new divisor 4311 and the new remainder 915, and apply the division lemma to get
4311 = 915 x 4 + 651
We consider the new divisor 915 and the new remainder 651,and apply the division lemma to get
915 = 651 x 1 + 264
We consider the new divisor 651 and the new remainder 264,and apply the division lemma to get
651 = 264 x 2 + 123
We consider the new divisor 264 and the new remainder 123,and apply the division lemma to get
264 = 123 x 2 + 18
We consider the new divisor 123 and the new remainder 18,and apply the division lemma to get
123 = 18 x 6 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5226 and 9537 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(123,18) = HCF(264,123) = HCF(651,264) = HCF(915,651) = HCF(4311,915) = HCF(5226,4311) = HCF(9537,5226) .
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 5226, 9537?
Answer: HCF of 5226, 9537 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5226, 9537 using Euclid's Algorithm?
Answer: For arbitrary numbers 5226, 9537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.