Highest Common Factor of 9219, 3633 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 9219, 3633 i.e. 21 the largest integer that leaves a remainder zero for all numbers.
HCF of 9219, 3633 is 21 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 9219, 3633 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 9219, 3633 is 21.
HCF(9219, 3633) = 21
HCF of 9219, 3633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9219, 3633 is 21.
Highest Common Factor of 9219,3633 is 21
Step 1: Since 9219 > 3633, we apply the division lemma to 9219 and 3633, to get
9219 = 3633 x 2 + 1953
Step 2: Since the reminder 3633 ≠ 0, we apply division lemma to 1953 and 3633, to get
3633 = 1953 x 1 + 1680
Step 3: We consider the new divisor 1953 and the new remainder 1680, and apply the division lemma to get
1953 = 1680 x 1 + 273
We consider the new divisor 1680 and the new remainder 273,and apply the division lemma to get
1680 = 273 x 6 + 42
We consider the new divisor 273 and the new remainder 42,and apply the division lemma to get
273 = 42 x 6 + 21
We consider the new divisor 42 and the new remainder 21,and apply the division lemma to get
42 = 21 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 9219 and 3633 is 21
Notice that 21 = HCF(42,21) = HCF(273,42) = HCF(1680,273) = HCF(1953,1680) = HCF(3633,1953) = HCF(9219,3633) .
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Frequently Asked Questions on HCF of 9219, 3633 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 9219, 3633?
Answer: HCF of 9219, 3633 is 21 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9219, 3633 using Euclid's Algorithm?
Answer: For arbitrary numbers 9219, 3633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.