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 635, 42372 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 635, 42372 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 635, 42372 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 635, 42372 is 1.
HCF(635, 42372) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 635, 42372 is 1.
Step 1: Since 42372 > 635, we apply the division lemma to 42372 and 635, to get
42372 = 635 x 66 + 462
Step 2: Since the reminder 635 ≠ 0, we apply division lemma to 462 and 635, to get
635 = 462 x 1 + 173
Step 3: We consider the new divisor 462 and the new remainder 173, and apply the division lemma to get
462 = 173 x 2 + 116
We consider the new divisor 173 and the new remainder 116,and apply the division lemma to get
173 = 116 x 1 + 57
We consider the new divisor 116 and the new remainder 57,and apply the division lemma to get
116 = 57 x 2 + 2
We consider the new divisor 57 and the new remainder 2,and apply the division lemma to get
57 = 2 x 28 + 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 635 and 42372 is 1
Notice that 1 = HCF(2,1) = HCF(57,2) = HCF(116,57) = HCF(173,116) = HCF(462,173) = HCF(635,462) = HCF(42372,635) .
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 635, 42372?
Answer: HCF of 635, 42372 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 635, 42372 using Euclid's Algorithm?
Answer: For arbitrary numbers 635, 42372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.