Highest Common Factor of 3794, 6973 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 3794, 6973 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3794, 6973 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 3794, 6973 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 3794, 6973 is 1.
HCF(3794, 6973) = 1
HCF of 3794, 6973 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3794, 6973 is 1.
Highest Common Factor of 3794,6973 is 1
Step 1: Since 6973 > 3794, we apply the division lemma to 6973 and 3794, to get
6973 = 3794 x 1 + 3179
Step 2: Since the reminder 3794 ≠ 0, we apply division lemma to 3179 and 3794, to get
3794 = 3179 x 1 + 615
Step 3: We consider the new divisor 3179 and the new remainder 615, and apply the division lemma to get
3179 = 615 x 5 + 104
We consider the new divisor 615 and the new remainder 104,and apply the division lemma to get
615 = 104 x 5 + 95
We consider the new divisor 104 and the new remainder 95,and apply the division lemma to get
104 = 95 x 1 + 9
We consider the new divisor 95 and the new remainder 9,and apply the division lemma to get
95 = 9 x 10 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 3794 and 6973 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(95,9) = HCF(104,95) = HCF(615,104) = HCF(3179,615) = HCF(3794,3179) = HCF(6973,3794) .
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Frequently Asked Questions on HCF of 3794, 6973 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 3794, 6973?
Answer: HCF of 3794, 6973 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3794, 6973 using Euclid's Algorithm?
Answer: For arbitrary numbers 3794, 6973 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.