Highest Common Factor of 4075, 9096 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 4075, 9096 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4075, 9096 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 4075, 9096 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 4075, 9096 is 1.
HCF(4075, 9096) = 1
HCF of 4075, 9096 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4075, 9096 is 1.
Highest Common Factor of 4075,9096 is 1
Step 1: Since 9096 > 4075, we apply the division lemma to 9096 and 4075, to get
9096 = 4075 x 2 + 946
Step 2: Since the reminder 4075 ≠ 0, we apply division lemma to 946 and 4075, to get
4075 = 946 x 4 + 291
Step 3: We consider the new divisor 946 and the new remainder 291, and apply the division lemma to get
946 = 291 x 3 + 73
We consider the new divisor 291 and the new remainder 73,and apply the division lemma to get
291 = 73 x 3 + 72
We consider the new divisor 73 and the new remainder 72,and apply the division lemma to get
73 = 72 x 1 + 1
We consider the new divisor 72 and the new remainder 1,and apply the division lemma to get
72 = 1 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4075 and 9096 is 1
Notice that 1 = HCF(72,1) = HCF(73,72) = HCF(291,73) = HCF(946,291) = HCF(4075,946) = HCF(9096,4075) .
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Frequently Asked Questions on HCF of 4075, 9096 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 4075, 9096?
Answer: HCF of 4075, 9096 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4075, 9096 using Euclid's Algorithm?
Answer: For arbitrary numbers 4075, 9096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.