Highest Common Factor of 408, 9244 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 408, 9244 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 408, 9244 is 4 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 408, 9244 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 408, 9244 is 4.
HCF(408, 9244) = 4
HCF of 408, 9244 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 408, 9244 is 4.
Highest Common Factor of 408,9244 is 4
Step 1: Since 9244 > 408, we apply the division lemma to 9244 and 408, to get
9244 = 408 x 22 + 268
Step 2: Since the reminder 408 ≠ 0, we apply division lemma to 268 and 408, to get
408 = 268 x 1 + 140
Step 3: We consider the new divisor 268 and the new remainder 140, and apply the division lemma to get
268 = 140 x 1 + 128
We consider the new divisor 140 and the new remainder 128,and apply the division lemma to get
140 = 128 x 1 + 12
We consider the new divisor 128 and the new remainder 12,and apply the division lemma to get
128 = 12 x 10 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 408 and 9244 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(128,12) = HCF(140,128) = HCF(268,140) = HCF(408,268) = HCF(9244,408) .
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Frequently Asked Questions on HCF of 408, 9244 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 408, 9244?
Answer: HCF of 408, 9244 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 408, 9244 using Euclid's Algorithm?
Answer: For arbitrary numbers 408, 9244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.