Highest Common Factor of 1338, 4579 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 1338, 4579 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1338, 4579 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 1338, 4579 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 1338, 4579 is 1.
HCF(1338, 4579) = 1
HCF of 1338, 4579 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1338, 4579 is 1.
Highest Common Factor of 1338,4579 is 1
Step 1: Since 4579 > 1338, we apply the division lemma to 4579 and 1338, to get
4579 = 1338 x 3 + 565
Step 2: Since the reminder 1338 ≠ 0, we apply division lemma to 565 and 1338, to get
1338 = 565 x 2 + 208
Step 3: We consider the new divisor 565 and the new remainder 208, and apply the division lemma to get
565 = 208 x 2 + 149
We consider the new divisor 208 and the new remainder 149,and apply the division lemma to get
208 = 149 x 1 + 59
We consider the new divisor 149 and the new remainder 59,and apply the division lemma to get
149 = 59 x 2 + 31
We consider the new divisor 59 and the new remainder 31,and apply the division lemma to get
59 = 31 x 1 + 28
We consider the new divisor 31 and the new remainder 28,and apply the division lemma to get
31 = 28 x 1 + 3
We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get
28 = 3 x 9 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1338 and 4579 is 1
Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(31,28) = HCF(59,31) = HCF(149,59) = HCF(208,149) = HCF(565,208) = HCF(1338,565) = HCF(4579,1338) .
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Frequently Asked Questions on HCF of 1338, 4579 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 1338, 4579?
Answer: HCF of 1338, 4579 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1338, 4579 using Euclid's Algorithm?
Answer: For arbitrary numbers 1338, 4579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
