Highest Common Factor of 9932, 4159 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 9932, 4159 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9932, 4159 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 9932, 4159 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 9932, 4159 is 1.
HCF(9932, 4159) = 1
HCF of 9932, 4159 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9932, 4159 is 1.
Highest Common Factor of 9932,4159 is 1
Step 1: Since 9932 > 4159, we apply the division lemma to 9932 and 4159, to get
9932 = 4159 x 2 + 1614
Step 2: Since the reminder 4159 ≠ 0, we apply division lemma to 1614 and 4159, to get
4159 = 1614 x 2 + 931
Step 3: We consider the new divisor 1614 and the new remainder 931, and apply the division lemma to get
1614 = 931 x 1 + 683
We consider the new divisor 931 and the new remainder 683,and apply the division lemma to get
931 = 683 x 1 + 248
We consider the new divisor 683 and the new remainder 248,and apply the division lemma to get
683 = 248 x 2 + 187
We consider the new divisor 248 and the new remainder 187,and apply the division lemma to get
248 = 187 x 1 + 61
We consider the new divisor 187 and the new remainder 61,and apply the division lemma to get
187 = 61 x 3 + 4
We consider the new divisor 61 and the new remainder 4,and apply the division lemma to get
61 = 4 x 15 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9932 and 4159 is 1
Notice that 1 = HCF(4,1) = HCF(61,4) = HCF(187,61) = HCF(248,187) = HCF(683,248) = HCF(931,683) = HCF(1614,931) = HCF(4159,1614) = HCF(9932,4159) .
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Frequently Asked Questions on HCF of 9932, 4159 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 9932, 4159?
Answer: HCF of 9932, 4159 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9932, 4159 using Euclid's Algorithm?
Answer: For arbitrary numbers 9932, 4159 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
