Highest Common Factor of 9107, 4142 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 9107, 4142 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9107, 4142 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 9107, 4142 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 9107, 4142 is 1.
HCF(9107, 4142) = 1
HCF of 9107, 4142 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9107, 4142 is 1.
Highest Common Factor of 9107,4142 is 1
Step 1: Since 9107 > 4142, we apply the division lemma to 9107 and 4142, to get
9107 = 4142 x 2 + 823
Step 2: Since the reminder 4142 ≠ 0, we apply division lemma to 823 and 4142, to get
4142 = 823 x 5 + 27
Step 3: We consider the new divisor 823 and the new remainder 27, and apply the division lemma to get
823 = 27 x 30 + 13
We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get
27 = 13 x 2 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9107 and 4142 is 1
Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(823,27) = HCF(4142,823) = HCF(9107,4142) .
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Frequently Asked Questions on HCF of 9107, 4142 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 9107, 4142?
Answer: HCF of 9107, 4142 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9107, 4142 using Euclid's Algorithm?
Answer: For arbitrary numbers 9107, 4142 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.