Highest Common Factor of 4599, 1922 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 4599, 1922 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4599, 1922 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 4599, 1922 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 4599, 1922 is 1.
HCF(4599, 1922) = 1
HCF of 4599, 1922 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4599, 1922 is 1.
Highest Common Factor of 4599,1922 is 1
Step 1: Since 4599 > 1922, we apply the division lemma to 4599 and 1922, to get
4599 = 1922 x 2 + 755
Step 2: Since the reminder 1922 ≠ 0, we apply division lemma to 755 and 1922, to get
1922 = 755 x 2 + 412
Step 3: We consider the new divisor 755 and the new remainder 412, and apply the division lemma to get
755 = 412 x 1 + 343
We consider the new divisor 412 and the new remainder 343,and apply the division lemma to get
412 = 343 x 1 + 69
We consider the new divisor 343 and the new remainder 69,and apply the division lemma to get
343 = 69 x 4 + 67
We consider the new divisor 69 and the new remainder 67,and apply the division lemma to get
69 = 67 x 1 + 2
We consider the new divisor 67 and the new remainder 2,and apply the division lemma to get
67 = 2 x 33 + 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 4599 and 1922 is 1
Notice that 1 = HCF(2,1) = HCF(67,2) = HCF(69,67) = HCF(343,69) = HCF(412,343) = HCF(755,412) = HCF(1922,755) = HCF(4599,1922) .
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Frequently Asked Questions on HCF of 4599, 1922 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 4599, 1922?
Answer: HCF of 4599, 1922 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4599, 1922 using Euclid's Algorithm?
Answer: For arbitrary numbers 4599, 1922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.