Highest Common Factor of 3555, 2653 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 3555, 2653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3555, 2653 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 3555, 2653 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 3555, 2653 is 1.
HCF(3555, 2653) = 1
HCF of 3555, 2653 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3555, 2653 is 1.
Highest Common Factor of 3555,2653 is 1
Step 1: Since 3555 > 2653, we apply the division lemma to 3555 and 2653, to get
3555 = 2653 x 1 + 902
Step 2: Since the reminder 2653 ≠ 0, we apply division lemma to 902 and 2653, to get
2653 = 902 x 2 + 849
Step 3: We consider the new divisor 902 and the new remainder 849, and apply the division lemma to get
902 = 849 x 1 + 53
We consider the new divisor 849 and the new remainder 53,and apply the division lemma to get
849 = 53 x 16 + 1
We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3555 and 2653 is 1
Notice that 1 = HCF(53,1) = HCF(849,53) = HCF(902,849) = HCF(2653,902) = HCF(3555,2653) .
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Frequently Asked Questions on HCF of 3555, 2653 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 3555, 2653?
Answer: HCF of 3555, 2653 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3555, 2653 using Euclid's Algorithm?
Answer: For arbitrary numbers 3555, 2653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.