Highest Common Factor of 4084, 7558 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 4084, 7558 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4084, 7558 is 2 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 4084, 7558 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 4084, 7558 is 2.
HCF(4084, 7558) = 2
HCF of 4084, 7558 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4084, 7558 is 2.
Highest Common Factor of 4084,7558 is 2
Step 1: Since 7558 > 4084, we apply the division lemma to 7558 and 4084, to get
7558 = 4084 x 1 + 3474
Step 2: Since the reminder 4084 ≠ 0, we apply division lemma to 3474 and 4084, to get
4084 = 3474 x 1 + 610
Step 3: We consider the new divisor 3474 and the new remainder 610, and apply the division lemma to get
3474 = 610 x 5 + 424
We consider the new divisor 610 and the new remainder 424,and apply the division lemma to get
610 = 424 x 1 + 186
We consider the new divisor 424 and the new remainder 186,and apply the division lemma to get
424 = 186 x 2 + 52
We consider the new divisor 186 and the new remainder 52,and apply the division lemma to get
186 = 52 x 3 + 30
We consider the new divisor 52 and the new remainder 30,and apply the division lemma to get
52 = 30 x 1 + 22
We consider the new divisor 30 and the new remainder 22,and apply the division lemma to get
30 = 22 x 1 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4084 and 7558 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(30,22) = HCF(52,30) = HCF(186,52) = HCF(424,186) = HCF(610,424) = HCF(3474,610) = HCF(4084,3474) = HCF(7558,4084) .
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Frequently Asked Questions on HCF of 4084, 7558 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 4084, 7558?
Answer: HCF of 4084, 7558 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4084, 7558 using Euclid's Algorithm?
Answer: For arbitrary numbers 4084, 7558 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.