Highest Common Factor of 775, 8726, 2911 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 775, 8726, 2911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 775, 8726, 2911 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 775, 8726, 2911 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 775, 8726, 2911 is 1.
HCF(775, 8726, 2911) = 1
HCF of 775, 8726, 2911 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 775, 8726, 2911 is 1.
Highest Common Factor of 775,8726,2911 is 1
Step 1: Since 8726 > 775, we apply the division lemma to 8726 and 775, to get
8726 = 775 x 11 + 201
Step 2: Since the reminder 775 ≠ 0, we apply division lemma to 201 and 775, to get
775 = 201 x 3 + 172
Step 3: We consider the new divisor 201 and the new remainder 172, and apply the division lemma to get
201 = 172 x 1 + 29
We consider the new divisor 172 and the new remainder 29,and apply the division lemma to get
172 = 29 x 5 + 27
We consider the new divisor 29 and the new remainder 27,and apply the division lemma to get
29 = 27 x 1 + 2
We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get
27 = 2 x 13 + 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 775 and 8726 is 1
Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(29,27) = HCF(172,29) = HCF(201,172) = HCF(775,201) = HCF(8726,775) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2911 > 1, we apply the division lemma to 2911 and 1, to get
2911 = 1 x 2911 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2911 is 1
Notice that 1 = HCF(2911,1) .
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Frequently Asked Questions on HCF of 775, 8726, 2911 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 775, 8726, 2911?
Answer: HCF of 775, 8726, 2911 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 775, 8726, 2911 using Euclid's Algorithm?
Answer: For arbitrary numbers 775, 8726, 2911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
