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 3173, 6373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3173, 6373 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 3173, 6373 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 3173, 6373 is 1.
HCF(3173, 6373) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3173, 6373 is 1.
Step 1: Since 6373 > 3173, we apply the division lemma to 6373 and 3173, to get
6373 = 3173 x 2 + 27
Step 2: Since the reminder 3173 ≠ 0, we apply division lemma to 27 and 3173, to get
3173 = 27 x 117 + 14
Step 3: We consider the new divisor 27 and the new remainder 14, and apply the division lemma to get
27 = 14 x 1 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3173 and 6373 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(3173,27) = HCF(6373,3173) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 3173, 6373?
Answer: HCF of 3173, 6373 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3173, 6373 using Euclid's Algorithm?
Answer: For arbitrary numbers 3173, 6373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.