Highest Common Factor of 755, 2583 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 755, 2583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 755, 2583 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 755, 2583 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 755, 2583 is 1.
HCF(755, 2583) = 1
HCF of 755, 2583 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 755, 2583 is 1.
Highest Common Factor of 755,2583 is 1
Step 1: Since 2583 > 755, we apply the division lemma to 2583 and 755, to get
2583 = 755 x 3 + 318
Step 2: Since the reminder 755 ≠ 0, we apply division lemma to 318 and 755, to get
755 = 318 x 2 + 119
Step 3: We consider the new divisor 318 and the new remainder 119, and apply the division lemma to get
318 = 119 x 2 + 80
We consider the new divisor 119 and the new remainder 80,and apply the division lemma to get
119 = 80 x 1 + 39
We consider the new divisor 80 and the new remainder 39,and apply the division lemma to get
80 = 39 x 2 + 2
We consider the new divisor 39 and the new remainder 2,and apply the division lemma to get
39 = 2 x 19 + 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 755 and 2583 is 1
Notice that 1 = HCF(2,1) = HCF(39,2) = HCF(80,39) = HCF(119,80) = HCF(318,119) = HCF(755,318) = HCF(2583,755) .
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Frequently Asked Questions on HCF of 755, 2583 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 755, 2583?
Answer: HCF of 755, 2583 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 755, 2583 using Euclid's Algorithm?
Answer: For arbitrary numbers 755, 2583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.