Highest Common Factor of 7623, 3454 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 7623, 3454 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 7623, 3454 is 11 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 7623, 3454 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 7623, 3454 is 11.
HCF(7623, 3454) = 11
HCF of 7623, 3454 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7623, 3454 is 11.
Highest Common Factor of 7623,3454 is 11
Step 1: Since 7623 > 3454, we apply the division lemma to 7623 and 3454, to get
7623 = 3454 x 2 + 715
Step 2: Since the reminder 3454 ≠ 0, we apply division lemma to 715 and 3454, to get
3454 = 715 x 4 + 594
Step 3: We consider the new divisor 715 and the new remainder 594, and apply the division lemma to get
715 = 594 x 1 + 121
We consider the new divisor 594 and the new remainder 121,and apply the division lemma to get
594 = 121 x 4 + 110
We consider the new divisor 121 and the new remainder 110,and apply the division lemma to get
121 = 110 x 1 + 11
We consider the new divisor 110 and the new remainder 11,and apply the division lemma to get
110 = 11 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 7623 and 3454 is 11
Notice that 11 = HCF(110,11) = HCF(121,110) = HCF(594,121) = HCF(715,594) = HCF(3454,715) = HCF(7623,3454) .
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Frequently Asked Questions on HCF of 7623, 3454 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 7623, 3454?
Answer: HCF of 7623, 3454 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7623, 3454 using Euclid's Algorithm?
Answer: For arbitrary numbers 7623, 3454 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.