Highest Common Factor of 976, 641 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 976, 641 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 976, 641 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 976, 641 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 976, 641 is 1.
HCF(976, 641) = 1
HCF of 976, 641 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 976, 641 is 1.
Highest Common Factor of 976,641 is 1
Step 1: Since 976 > 641, we apply the division lemma to 976 and 641, to get
976 = 641 x 1 + 335
Step 2: Since the reminder 641 ≠ 0, we apply division lemma to 335 and 641, to get
641 = 335 x 1 + 306
Step 3: We consider the new divisor 335 and the new remainder 306, and apply the division lemma to get
335 = 306 x 1 + 29
We consider the new divisor 306 and the new remainder 29,and apply the division lemma to get
306 = 29 x 10 + 16
We consider the new divisor 29 and the new remainder 16,and apply the division lemma to get
29 = 16 x 1 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 976 and 641 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(29,16) = HCF(306,29) = HCF(335,306) = HCF(641,335) = HCF(976,641) .
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Frequently Asked Questions on HCF of 976, 641 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 976, 641?
Answer: HCF of 976, 641 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 976, 641 using Euclid's Algorithm?
Answer: For arbitrary numbers 976, 641 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.