Highest Common Factor of 2550, 4535 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 2550, 4535 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 2550, 4535 is 5 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 2550, 4535 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 2550, 4535 is 5.
HCF(2550, 4535) = 5
HCF of 2550, 4535 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2550, 4535 is 5.
Highest Common Factor of 2550,4535 is 5
Step 1: Since 4535 > 2550, we apply the division lemma to 4535 and 2550, to get
4535 = 2550 x 1 + 1985
Step 2: Since the reminder 2550 ≠ 0, we apply division lemma to 1985 and 2550, to get
2550 = 1985 x 1 + 565
Step 3: We consider the new divisor 1985 and the new remainder 565, and apply the division lemma to get
1985 = 565 x 3 + 290
We consider the new divisor 565 and the new remainder 290,and apply the division lemma to get
565 = 290 x 1 + 275
We consider the new divisor 290 and the new remainder 275,and apply the division lemma to get
290 = 275 x 1 + 15
We consider the new divisor 275 and the new remainder 15,and apply the division lemma to get
275 = 15 x 18 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 2550 and 4535 is 5
Notice that 5 = HCF(15,5) = HCF(275,15) = HCF(290,275) = HCF(565,290) = HCF(1985,565) = HCF(2550,1985) = HCF(4535,2550) .
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Frequently Asked Questions on HCF of 2550, 4535 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 2550, 4535?
Answer: HCF of 2550, 4535 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2550, 4535 using Euclid's Algorithm?
Answer: For arbitrary numbers 2550, 4535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.