Highest Common Factor of 4594, 1602 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 4594, 1602 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4594, 1602 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 4594, 1602 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 4594, 1602 is 2.
HCF(4594, 1602) = 2
HCF of 4594, 1602 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4594, 1602 is 2.
Highest Common Factor of 4594,1602 is 2
Step 1: Since 4594 > 1602, we apply the division lemma to 4594 and 1602, to get
4594 = 1602 x 2 + 1390
Step 2: Since the reminder 1602 ≠ 0, we apply division lemma to 1390 and 1602, to get
1602 = 1390 x 1 + 212
Step 3: We consider the new divisor 1390 and the new remainder 212, and apply the division lemma to get
1390 = 212 x 6 + 118
We consider the new divisor 212 and the new remainder 118,and apply the division lemma to get
212 = 118 x 1 + 94
We consider the new divisor 118 and the new remainder 94,and apply the division lemma to get
118 = 94 x 1 + 24
We consider the new divisor 94 and the new remainder 24,and apply the division lemma to get
94 = 24 x 3 + 22
We consider the new divisor 24 and the new remainder 22,and apply the division lemma to get
24 = 22 x 1 + 2
We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4594 and 1602 is 2
Notice that 2 = HCF(22,2) = HCF(24,22) = HCF(94,24) = HCF(118,94) = HCF(212,118) = HCF(1390,212) = HCF(1602,1390) = HCF(4594,1602) .
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Frequently Asked Questions on HCF of 4594, 1602 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 4594, 1602?
Answer: HCF of 4594, 1602 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4594, 1602 using Euclid's Algorithm?
Answer: For arbitrary numbers 4594, 1602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
