Highest Common Factor of 943, 6225 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 943, 6225 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 943, 6225 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 943, 6225 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 943, 6225 is 1.
HCF(943, 6225) = 1
HCF of 943, 6225 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 943, 6225 is 1.
Highest Common Factor of 943,6225 is 1
Step 1: Since 6225 > 943, we apply the division lemma to 6225 and 943, to get
6225 = 943 x 6 + 567
Step 2: Since the reminder 943 ≠ 0, we apply division lemma to 567 and 943, to get
943 = 567 x 1 + 376
Step 3: We consider the new divisor 567 and the new remainder 376, and apply the division lemma to get
567 = 376 x 1 + 191
We consider the new divisor 376 and the new remainder 191,and apply the division lemma to get
376 = 191 x 1 + 185
We consider the new divisor 191 and the new remainder 185,and apply the division lemma to get
191 = 185 x 1 + 6
We consider the new divisor 185 and the new remainder 6,and apply the division lemma to get
185 = 6 x 30 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 943 and 6225 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(185,6) = HCF(191,185) = HCF(376,191) = HCF(567,376) = HCF(943,567) = HCF(6225,943) .
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Frequently Asked Questions on HCF of 943, 6225 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 943, 6225?
Answer: HCF of 943, 6225 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 943, 6225 using Euclid's Algorithm?
Answer: For arbitrary numbers 943, 6225 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.