Highest Common Factor of 9955, 4703 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 9955, 4703 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9955, 4703 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 9955, 4703 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 9955, 4703 is 1.
HCF(9955, 4703) = 1
HCF of 9955, 4703 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9955, 4703 is 1.
Highest Common Factor of 9955,4703 is 1
Step 1: Since 9955 > 4703, we apply the division lemma to 9955 and 4703, to get
9955 = 4703 x 2 + 549
Step 2: Since the reminder 4703 ≠ 0, we apply division lemma to 549 and 4703, to get
4703 = 549 x 8 + 311
Step 3: We consider the new divisor 549 and the new remainder 311, and apply the division lemma to get
549 = 311 x 1 + 238
We consider the new divisor 311 and the new remainder 238,and apply the division lemma to get
311 = 238 x 1 + 73
We consider the new divisor 238 and the new remainder 73,and apply the division lemma to get
238 = 73 x 3 + 19
We consider the new divisor 73 and the new remainder 19,and apply the division lemma to get
73 = 19 x 3 + 16
We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get
19 = 16 x 1 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 9955 and 4703 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(73,19) = HCF(238,73) = HCF(311,238) = HCF(549,311) = HCF(4703,549) = HCF(9955,4703) .
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Frequently Asked Questions on HCF of 9955, 4703 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 9955, 4703?
Answer: HCF of 9955, 4703 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9955, 4703 using Euclid's Algorithm?
Answer: For arbitrary numbers 9955, 4703 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
