Highest Common Factor of 8407, 2946 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 8407, 2946 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8407, 2946 is 1 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 8407, 2946 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 8407, 2946 is 1.
HCF(8407, 2946) = 1
HCF of 8407, 2946 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8407, 2946 is 1.
Highest Common Factor of 8407,2946 is 1
Step 1: Since 8407 > 2946, we apply the division lemma to 8407 and 2946, to get
8407 = 2946 x 2 + 2515
Step 2: Since the reminder 2946 ≠ 0, we apply division lemma to 2515 and 2946, to get
2946 = 2515 x 1 + 431
Step 3: We consider the new divisor 2515 and the new remainder 431, and apply the division lemma to get
2515 = 431 x 5 + 360
We consider the new divisor 431 and the new remainder 360,and apply the division lemma to get
431 = 360 x 1 + 71
We consider the new divisor 360 and the new remainder 71,and apply the division lemma to get
360 = 71 x 5 + 5
We consider the new divisor 71 and the new remainder 5,and apply the division lemma to get
71 = 5 x 14 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8407 and 2946 is 1
Notice that 1 = HCF(5,1) = HCF(71,5) = HCF(360,71) = HCF(431,360) = HCF(2515,431) = HCF(2946,2515) = HCF(8407,2946) .
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Frequently Asked Questions on HCF of 8407, 2946 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 8407, 2946?
Answer: HCF of 8407, 2946 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8407, 2946 using Euclid's Algorithm?
Answer: For arbitrary numbers 8407, 2946 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.