Highest Common Factor of 9146, 6824 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 9146, 6824 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9146, 6824 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 9146, 6824 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 9146, 6824 is 2.
HCF(9146, 6824) = 2
HCF of 9146, 6824 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9146, 6824 is 2.
Highest Common Factor of 9146,6824 is 2
Step 1: Since 9146 > 6824, we apply the division lemma to 9146 and 6824, to get
9146 = 6824 x 1 + 2322
Step 2: Since the reminder 6824 ≠ 0, we apply division lemma to 2322 and 6824, to get
6824 = 2322 x 2 + 2180
Step 3: We consider the new divisor 2322 and the new remainder 2180, and apply the division lemma to get
2322 = 2180 x 1 + 142
We consider the new divisor 2180 and the new remainder 142,and apply the division lemma to get
2180 = 142 x 15 + 50
We consider the new divisor 142 and the new remainder 50,and apply the division lemma to get
142 = 50 x 2 + 42
We consider the new divisor 50 and the new remainder 42,and apply the division lemma to get
50 = 42 x 1 + 8
We consider the new divisor 42 and the new remainder 8,and apply the division lemma to get
42 = 8 x 5 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9146 and 6824 is 2
Notice that 2 = HCF(8,2) = HCF(42,8) = HCF(50,42) = HCF(142,50) = HCF(2180,142) = HCF(2322,2180) = HCF(6824,2322) = HCF(9146,6824) .
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Frequently Asked Questions on HCF of 9146, 6824 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 9146, 6824?
Answer: HCF of 9146, 6824 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9146, 6824 using Euclid's Algorithm?
Answer: For arbitrary numbers 9146, 6824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.