Highest Common Factor of 7458, 9086 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 7458, 9086 i.e. 22 the largest integer that leaves a remainder zero for all numbers.
HCF of 7458, 9086 is 22 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 7458, 9086 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 7458, 9086 is 22.
HCF(7458, 9086) = 22
HCF of 7458, 9086 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7458, 9086 is 22.
Highest Common Factor of 7458,9086 is 22
Step 1: Since 9086 > 7458, we apply the division lemma to 9086 and 7458, to get
9086 = 7458 x 1 + 1628
Step 2: Since the reminder 7458 ≠ 0, we apply division lemma to 1628 and 7458, to get
7458 = 1628 x 4 + 946
Step 3: We consider the new divisor 1628 and the new remainder 946, and apply the division lemma to get
1628 = 946 x 1 + 682
We consider the new divisor 946 and the new remainder 682,and apply the division lemma to get
946 = 682 x 1 + 264
We consider the new divisor 682 and the new remainder 264,and apply the division lemma to get
682 = 264 x 2 + 154
We consider the new divisor 264 and the new remainder 154,and apply the division lemma to get
264 = 154 x 1 + 110
We consider the new divisor 154 and the new remainder 110,and apply the division lemma to get
154 = 110 x 1 + 44
We consider the new divisor 110 and the new remainder 44,and apply the division lemma to get
110 = 44 x 2 + 22
We consider the new divisor 44 and the new remainder 22,and apply the division lemma to get
44 = 22 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 7458 and 9086 is 22
Notice that 22 = HCF(44,22) = HCF(110,44) = HCF(154,110) = HCF(264,154) = HCF(682,264) = HCF(946,682) = HCF(1628,946) = HCF(7458,1628) = HCF(9086,7458) .
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Frequently Asked Questions on HCF of 7458, 9086 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 7458, 9086?
Answer: HCF of 7458, 9086 is 22 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7458, 9086 using Euclid's Algorithm?
Answer: For arbitrary numbers 7458, 9086 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
