Highest Common Factor of 974, 3563 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 974, 3563 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 974, 3563 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 974, 3563 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 974, 3563 is 1.
HCF(974, 3563) = 1
HCF of 974, 3563 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 974, 3563 is 1.
Highest Common Factor of 974,3563 is 1
Step 1: Since 3563 > 974, we apply the division lemma to 3563 and 974, to get
3563 = 974 x 3 + 641
Step 2: Since the reminder 974 ≠ 0, we apply division lemma to 641 and 974, to get
974 = 641 x 1 + 333
Step 3: We consider the new divisor 641 and the new remainder 333, and apply the division lemma to get
641 = 333 x 1 + 308
We consider the new divisor 333 and the new remainder 308,and apply the division lemma to get
333 = 308 x 1 + 25
We consider the new divisor 308 and the new remainder 25,and apply the division lemma to get
308 = 25 x 12 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 974 and 3563 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(308,25) = HCF(333,308) = HCF(641,333) = HCF(974,641) = HCF(3563,974) .
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Frequently Asked Questions on HCF of 974, 3563 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 974, 3563?
Answer: HCF of 974, 3563 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 974, 3563 using Euclid's Algorithm?
Answer: For arbitrary numbers 974, 3563 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.