Highest Common Factor of 2035, 2777 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 2035, 2777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2035, 2777 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 2035, 2777 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 2035, 2777 is 1.
HCF(2035, 2777) = 1
HCF of 2035, 2777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2035, 2777 is 1.
Highest Common Factor of 2035,2777 is 1
Step 1: Since 2777 > 2035, we apply the division lemma to 2777 and 2035, to get
2777 = 2035 x 1 + 742
Step 2: Since the reminder 2035 ≠ 0, we apply division lemma to 742 and 2035, to get
2035 = 742 x 2 + 551
Step 3: We consider the new divisor 742 and the new remainder 551, and apply the division lemma to get
742 = 551 x 1 + 191
We consider the new divisor 551 and the new remainder 191,and apply the division lemma to get
551 = 191 x 2 + 169
We consider the new divisor 191 and the new remainder 169,and apply the division lemma to get
191 = 169 x 1 + 22
We consider the new divisor 169 and the new remainder 22,and apply the division lemma to get
169 = 22 x 7 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2035 and 2777 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(169,22) = HCF(191,169) = HCF(551,191) = HCF(742,551) = HCF(2035,742) = HCF(2777,2035) .
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Frequently Asked Questions on HCF of 2035, 2777 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 2035, 2777?
Answer: HCF of 2035, 2777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2035, 2777 using Euclid's Algorithm?
Answer: For arbitrary numbers 2035, 2777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.