Highest Common Factor of 8946, 8292 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 8946, 8292 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 8946, 8292 is 6 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 8946, 8292 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 8946, 8292 is 6.
HCF(8946, 8292) = 6
HCF of 8946, 8292 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8946, 8292 is 6.
Highest Common Factor of 8946,8292 is 6
Step 1: Since 8946 > 8292, we apply the division lemma to 8946 and 8292, to get
8946 = 8292 x 1 + 654
Step 2: Since the reminder 8292 ≠ 0, we apply division lemma to 654 and 8292, to get
8292 = 654 x 12 + 444
Step 3: We consider the new divisor 654 and the new remainder 444, and apply the division lemma to get
654 = 444 x 1 + 210
We consider the new divisor 444 and the new remainder 210,and apply the division lemma to get
444 = 210 x 2 + 24
We consider the new divisor 210 and the new remainder 24,and apply the division lemma to get
210 = 24 x 8 + 18
We consider the new divisor 24 and the new remainder 18,and apply the division lemma to get
24 = 18 x 1 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 8946 and 8292 is 6
Notice that 6 = HCF(18,6) = HCF(24,18) = HCF(210,24) = HCF(444,210) = HCF(654,444) = HCF(8292,654) = HCF(8946,8292) .
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Frequently Asked Questions on HCF of 8946, 8292 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 8946, 8292?
Answer: HCF of 8946, 8292 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8946, 8292 using Euclid's Algorithm?
Answer: For arbitrary numbers 8946, 8292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.