Highest Common Factor of 9422, 3744 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 9422, 3744 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9422, 3744 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 9422, 3744 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 9422, 3744 is 2.
HCF(9422, 3744) = 2
HCF of 9422, 3744 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9422, 3744 is 2.
Highest Common Factor of 9422,3744 is 2
Step 1: Since 9422 > 3744, we apply the division lemma to 9422 and 3744, to get
9422 = 3744 x 2 + 1934
Step 2: Since the reminder 3744 ≠ 0, we apply division lemma to 1934 and 3744, to get
3744 = 1934 x 1 + 1810
Step 3: We consider the new divisor 1934 and the new remainder 1810, and apply the division lemma to get
1934 = 1810 x 1 + 124
We consider the new divisor 1810 and the new remainder 124,and apply the division lemma to get
1810 = 124 x 14 + 74
We consider the new divisor 124 and the new remainder 74,and apply the division lemma to get
124 = 74 x 1 + 50
We consider the new divisor 74 and the new remainder 50,and apply the division lemma to get
74 = 50 x 1 + 24
We consider the new divisor 50 and the new remainder 24,and apply the division lemma to get
50 = 24 x 2 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9422 and 3744 is 2
Notice that 2 = HCF(24,2) = HCF(50,24) = HCF(74,50) = HCF(124,74) = HCF(1810,124) = HCF(1934,1810) = HCF(3744,1934) = HCF(9422,3744) .
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Frequently Asked Questions on HCF of 9422, 3744 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 9422, 3744?
Answer: HCF of 9422, 3744 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9422, 3744 using Euclid's Algorithm?
Answer: For arbitrary numbers 9422, 3744 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.