Highest Common Factor of 3457, 4084 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 3457, 4084 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3457, 4084 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 3457, 4084 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 3457, 4084 is 1.
HCF(3457, 4084) = 1
HCF of 3457, 4084 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3457, 4084 is 1.
Highest Common Factor of 3457,4084 is 1
Step 1: Since 4084 > 3457, we apply the division lemma to 4084 and 3457, to get
4084 = 3457 x 1 + 627
Step 2: Since the reminder 3457 ≠ 0, we apply division lemma to 627 and 3457, to get
3457 = 627 x 5 + 322
Step 3: We consider the new divisor 627 and the new remainder 322, and apply the division lemma to get
627 = 322 x 1 + 305
We consider the new divisor 322 and the new remainder 305,and apply the division lemma to get
322 = 305 x 1 + 17
We consider the new divisor 305 and the new remainder 17,and apply the division lemma to get
305 = 17 x 17 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3457 and 4084 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(305,17) = HCF(322,305) = HCF(627,322) = HCF(3457,627) = HCF(4084,3457) .
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Frequently Asked Questions on HCF of 3457, 4084 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 3457, 4084?
Answer: HCF of 3457, 4084 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3457, 4084 using Euclid's Algorithm?
Answer: For arbitrary numbers 3457, 4084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.