Highest Common Factor of 7911, 3466 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 7911, 3466 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7911, 3466 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 7911, 3466 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 7911, 3466 is 1.
HCF(7911, 3466) = 1
HCF of 7911, 3466 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7911, 3466 is 1.
Highest Common Factor of 7911,3466 is 1
Step 1: Since 7911 > 3466, we apply the division lemma to 7911 and 3466, to get
7911 = 3466 x 2 + 979
Step 2: Since the reminder 3466 ≠ 0, we apply division lemma to 979 and 3466, to get
3466 = 979 x 3 + 529
Step 3: We consider the new divisor 979 and the new remainder 529, and apply the division lemma to get
979 = 529 x 1 + 450
We consider the new divisor 529 and the new remainder 450,and apply the division lemma to get
529 = 450 x 1 + 79
We consider the new divisor 450 and the new remainder 79,and apply the division lemma to get
450 = 79 x 5 + 55
We consider the new divisor 79 and the new remainder 55,and apply the division lemma to get
79 = 55 x 1 + 24
We consider the new divisor 55 and the new remainder 24,and apply the division lemma to get
55 = 24 x 2 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7911 and 3466 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(55,24) = HCF(79,55) = HCF(450,79) = HCF(529,450) = HCF(979,529) = HCF(3466,979) = HCF(7911,3466) .
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Frequently Asked Questions on HCF of 7911, 3466 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 7911, 3466?
Answer: HCF of 7911, 3466 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7911, 3466 using Euclid's Algorithm?
Answer: For arbitrary numbers 7911, 3466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.