Highest Common Factor of 2781, 8911 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 2781, 8911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2781, 8911 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 2781, 8911 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 2781, 8911 is 1.
HCF(2781, 8911) = 1
HCF of 2781, 8911 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2781, 8911 is 1.
Highest Common Factor of 2781,8911 is 1
Step 1: Since 8911 > 2781, we apply the division lemma to 8911 and 2781, to get
8911 = 2781 x 3 + 568
Step 2: Since the reminder 2781 ≠ 0, we apply division lemma to 568 and 2781, to get
2781 = 568 x 4 + 509
Step 3: We consider the new divisor 568 and the new remainder 509, and apply the division lemma to get
568 = 509 x 1 + 59
We consider the new divisor 509 and the new remainder 59,and apply the division lemma to get
509 = 59 x 8 + 37
We consider the new divisor 59 and the new remainder 37,and apply the division lemma to get
59 = 37 x 1 + 22
We consider the new divisor 37 and the new remainder 22,and apply the division lemma to get
37 = 22 x 1 + 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 2781 and 8911 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(37,22) = HCF(59,37) = HCF(509,59) = HCF(568,509) = HCF(2781,568) = HCF(8911,2781) .
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Frequently Asked Questions on HCF of 2781, 8911 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 2781, 8911?
Answer: HCF of 2781, 8911 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2781, 8911 using Euclid's Algorithm?
Answer: For arbitrary numbers 2781, 8911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.