Highest Common Factor of 1557, 592 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 1557, 592 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1557, 592 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 1557, 592 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 1557, 592 is 1.
HCF(1557, 592) = 1
HCF of 1557, 592 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1557, 592 is 1.
Highest Common Factor of 1557,592 is 1
Step 1: Since 1557 > 592, we apply the division lemma to 1557 and 592, to get
1557 = 592 x 2 + 373
Step 2: Since the reminder 592 ≠ 0, we apply division lemma to 373 and 592, to get
592 = 373 x 1 + 219
Step 3: We consider the new divisor 373 and the new remainder 219, and apply the division lemma to get
373 = 219 x 1 + 154
We consider the new divisor 219 and the new remainder 154,and apply the division lemma to get
219 = 154 x 1 + 65
We consider the new divisor 154 and the new remainder 65,and apply the division lemma to get
154 = 65 x 2 + 24
We consider the new divisor 65 and the new remainder 24,and apply the division lemma to get
65 = 24 x 2 + 17
We consider the new divisor 24 and the new remainder 17,and apply the division lemma to get
24 = 17 x 1 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 1557 and 592 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(24,17) = HCF(65,24) = HCF(154,65) = HCF(219,154) = HCF(373,219) = HCF(592,373) = HCF(1557,592) .
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Frequently Asked Questions on HCF of 1557, 592 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 1557, 592?
Answer: HCF of 1557, 592 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1557, 592 using Euclid's Algorithm?
Answer: For arbitrary numbers 1557, 592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.