Highest Common Factor of 911, 6561, 4334 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 911, 6561, 4334 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 911, 6561, 4334 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 911, 6561, 4334 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 911, 6561, 4334 is 1.
HCF(911, 6561, 4334) = 1
HCF of 911, 6561, 4334 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 911, 6561, 4334 is 1.
Highest Common Factor of 911,6561,4334 is 1
Step 1: Since 6561 > 911, we apply the division lemma to 6561 and 911, to get
6561 = 911 x 7 + 184
Step 2: Since the reminder 911 ≠ 0, we apply division lemma to 184 and 911, to get
911 = 184 x 4 + 175
Step 3: We consider the new divisor 184 and the new remainder 175, and apply the division lemma to get
184 = 175 x 1 + 9
We consider the new divisor 175 and the new remainder 9,and apply the division lemma to get
175 = 9 x 19 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 911 and 6561 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(175,9) = HCF(184,175) = HCF(911,184) = HCF(6561,911) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4334 > 1, we apply the division lemma to 4334 and 1, to get
4334 = 1 x 4334 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4334 is 1
Notice that 1 = HCF(4334,1) .
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Frequently Asked Questions on HCF of 911, 6561, 4334 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 911, 6561, 4334?
Answer: HCF of 911, 6561, 4334 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 911, 6561, 4334 using Euclid's Algorithm?
Answer: For arbitrary numbers 911, 6561, 4334 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.