Highest Common Factor of 1476, 9946 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 1476, 9946 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1476, 9946 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 1476, 9946 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 1476, 9946 is 2.
HCF(1476, 9946) = 2
HCF of 1476, 9946 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1476, 9946 is 2.
Highest Common Factor of 1476,9946 is 2
Step 1: Since 9946 > 1476, we apply the division lemma to 9946 and 1476, to get
9946 = 1476 x 6 + 1090
Step 2: Since the reminder 1476 ≠ 0, we apply division lemma to 1090 and 1476, to get
1476 = 1090 x 1 + 386
Step 3: We consider the new divisor 1090 and the new remainder 386, and apply the division lemma to get
1090 = 386 x 2 + 318
We consider the new divisor 386 and the new remainder 318,and apply the division lemma to get
386 = 318 x 1 + 68
We consider the new divisor 318 and the new remainder 68,and apply the division lemma to get
318 = 68 x 4 + 46
We consider the new divisor 68 and the new remainder 46,and apply the division lemma to get
68 = 46 x 1 + 22
We consider the new divisor 46 and the new remainder 22,and apply the division lemma to get
46 = 22 x 2 + 2
We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1476 and 9946 is 2
Notice that 2 = HCF(22,2) = HCF(46,22) = HCF(68,46) = HCF(318,68) = HCF(386,318) = HCF(1090,386) = HCF(1476,1090) = HCF(9946,1476) .
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Frequently Asked Questions on HCF of 1476, 9946 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 1476, 9946?
Answer: HCF of 1476, 9946 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1476, 9946 using Euclid's Algorithm?
Answer: For arbitrary numbers 1476, 9946 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.