Highest Common Factor of 9953, 3976 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 9953, 3976 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9953, 3976 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 9953, 3976 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 9953, 3976 is 1.
HCF(9953, 3976) = 1
HCF of 9953, 3976 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9953, 3976 is 1.
Highest Common Factor of 9953,3976 is 1
Step 1: Since 9953 > 3976, we apply the division lemma to 9953 and 3976, to get
9953 = 3976 x 2 + 2001
Step 2: Since the reminder 3976 ≠ 0, we apply division lemma to 2001 and 3976, to get
3976 = 2001 x 1 + 1975
Step 3: We consider the new divisor 2001 and the new remainder 1975, and apply the division lemma to get
2001 = 1975 x 1 + 26
We consider the new divisor 1975 and the new remainder 26,and apply the division lemma to get
1975 = 26 x 75 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9953 and 3976 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(1975,26) = HCF(2001,1975) = HCF(3976,2001) = HCF(9953,3976) .
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Frequently Asked Questions on HCF of 9953, 3976 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 9953, 3976?
Answer: HCF of 9953, 3976 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9953, 3976 using Euclid's Algorithm?
Answer: For arbitrary numbers 9953, 3976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.