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 643, 375 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 643, 375 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 643, 375 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 643, 375 is 1.
HCF(643, 375) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 643, 375 is 1.
Step 1: Since 643 > 375, we apply the division lemma to 643 and 375, to get
643 = 375 x 1 + 268
Step 2: Since the reminder 375 ≠ 0, we apply division lemma to 268 and 375, to get
375 = 268 x 1 + 107
Step 3: We consider the new divisor 268 and the new remainder 107, and apply the division lemma to get
268 = 107 x 2 + 54
We consider the new divisor 107 and the new remainder 54,and apply the division lemma to get
107 = 54 x 1 + 53
We consider the new divisor 54 and the new remainder 53,and apply the division lemma to get
54 = 53 x 1 + 1
We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 643 and 375 is 1
Notice that 1 = HCF(53,1) = HCF(54,53) = HCF(107,54) = HCF(268,107) = HCF(375,268) = HCF(643,375) .
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 643, 375?
Answer: HCF of 643, 375 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 643, 375 using Euclid's Algorithm?
Answer: For arbitrary numbers 643, 375 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.