Highest Common Factor of 7107, 973 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 7107, 973 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7107, 973 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 7107, 973 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 7107, 973 is 1.
HCF(7107, 973) = 1
HCF of 7107, 973 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7107, 973 is 1.
Highest Common Factor of 7107,973 is 1
Step 1: Since 7107 > 973, we apply the division lemma to 7107 and 973, to get
7107 = 973 x 7 + 296
Step 2: Since the reminder 973 ≠ 0, we apply division lemma to 296 and 973, to get
973 = 296 x 3 + 85
Step 3: We consider the new divisor 296 and the new remainder 85, and apply the division lemma to get
296 = 85 x 3 + 41
We consider the new divisor 85 and the new remainder 41,and apply the division lemma to get
85 = 41 x 2 + 3
We consider the new divisor 41 and the new remainder 3,and apply the division lemma to get
41 = 3 x 13 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 7107 and 973 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(41,3) = HCF(85,41) = HCF(296,85) = HCF(973,296) = HCF(7107,973) .
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Frequently Asked Questions on HCF of 7107, 973 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 7107, 973?
Answer: HCF of 7107, 973 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7107, 973 using Euclid's Algorithm?
Answer: For arbitrary numbers 7107, 973 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.