Highest Common Factor of 9958, 6103 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 9958, 6103 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9958, 6103 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 9958, 6103 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 9958, 6103 is 1.
HCF(9958, 6103) = 1
HCF of 9958, 6103 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9958, 6103 is 1.
Highest Common Factor of 9958,6103 is 1
Step 1: Since 9958 > 6103, we apply the division lemma to 9958 and 6103, to get
9958 = 6103 x 1 + 3855
Step 2: Since the reminder 6103 ≠ 0, we apply division lemma to 3855 and 6103, to get
6103 = 3855 x 1 + 2248
Step 3: We consider the new divisor 3855 and the new remainder 2248, and apply the division lemma to get
3855 = 2248 x 1 + 1607
We consider the new divisor 2248 and the new remainder 1607,and apply the division lemma to get
2248 = 1607 x 1 + 641
We consider the new divisor 1607 and the new remainder 641,and apply the division lemma to get
1607 = 641 x 2 + 325
We consider the new divisor 641 and the new remainder 325,and apply the division lemma to get
641 = 325 x 1 + 316
We consider the new divisor 325 and the new remainder 316,and apply the division lemma to get
325 = 316 x 1 + 9
We consider the new divisor 316 and the new remainder 9,and apply the division lemma to get
316 = 9 x 35 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9958 and 6103 is 1
Notice that 1 = HCF(9,1) = HCF(316,9) = HCF(325,316) = HCF(641,325) = HCF(1607,641) = HCF(2248,1607) = HCF(3855,2248) = HCF(6103,3855) = HCF(9958,6103) .
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Frequently Asked Questions on HCF of 9958, 6103 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 9958, 6103?
Answer: HCF of 9958, 6103 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9958, 6103 using Euclid's Algorithm?
Answer: For arbitrary numbers 9958, 6103 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.