Highest Common Factor of 973, 7067, 6414 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 973, 7067, 6414 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 973, 7067, 6414 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 973, 7067, 6414 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 973, 7067, 6414 is 1.
HCF(973, 7067, 6414) = 1
HCF of 973, 7067, 6414 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 973, 7067, 6414 is 1.
Highest Common Factor of 973,7067,6414 is 1
Step 1: Since 7067 > 973, we apply the division lemma to 7067 and 973, to get
7067 = 973 x 7 + 256
Step 2: Since the reminder 973 ≠ 0, we apply division lemma to 256 and 973, to get
973 = 256 x 3 + 205
Step 3: We consider the new divisor 256 and the new remainder 205, and apply the division lemma to get
256 = 205 x 1 + 51
We consider the new divisor 205 and the new remainder 51,and apply the division lemma to get
205 = 51 x 4 + 1
We consider the new divisor 51 and the new remainder 1,and apply the division lemma to get
51 = 1 x 51 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 973 and 7067 is 1
Notice that 1 = HCF(51,1) = HCF(205,51) = HCF(256,205) = HCF(973,256) = HCF(7067,973) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6414 > 1, we apply the division lemma to 6414 and 1, to get
6414 = 1 x 6414 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6414 is 1
Notice that 1 = HCF(6414,1) .
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Frequently Asked Questions on HCF of 973, 7067, 6414 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 973, 7067, 6414?
Answer: HCF of 973, 7067, 6414 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 973, 7067, 6414 using Euclid's Algorithm?
Answer: For arbitrary numbers 973, 7067, 6414 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
