Highest Common Factor of 3453, 7124 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 3453, 7124 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3453, 7124 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 3453, 7124 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 3453, 7124 is 1.
HCF(3453, 7124) = 1
HCF of 3453, 7124 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3453, 7124 is 1.
Highest Common Factor of 3453,7124 is 1
Step 1: Since 7124 > 3453, we apply the division lemma to 7124 and 3453, to get
7124 = 3453 x 2 + 218
Step 2: Since the reminder 3453 ≠ 0, we apply division lemma to 218 and 3453, to get
3453 = 218 x 15 + 183
Step 3: We consider the new divisor 218 and the new remainder 183, and apply the division lemma to get
218 = 183 x 1 + 35
We consider the new divisor 183 and the new remainder 35,and apply the division lemma to get
183 = 35 x 5 + 8
We consider the new divisor 35 and the new remainder 8,and apply the division lemma to get
35 = 8 x 4 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3453 and 7124 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(35,8) = HCF(183,35) = HCF(218,183) = HCF(3453,218) = HCF(7124,3453) .
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Frequently Asked Questions on HCF of 3453, 7124 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 3453, 7124?
Answer: HCF of 3453, 7124 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3453, 7124 using Euclid's Algorithm?
Answer: For arbitrary numbers 3453, 7124 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.