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 3576, 635 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3576, 635 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 3576, 635 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 3576, 635 is 1.
HCF(3576, 635) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3576, 635 is 1.
Step 1: Since 3576 > 635, we apply the division lemma to 3576 and 635, to get
3576 = 635 x 5 + 401
Step 2: Since the reminder 635 ≠ 0, we apply division lemma to 401 and 635, to get
635 = 401 x 1 + 234
Step 3: We consider the new divisor 401 and the new remainder 234, and apply the division lemma to get
401 = 234 x 1 + 167
We consider the new divisor 234 and the new remainder 167,and apply the division lemma to get
234 = 167 x 1 + 67
We consider the new divisor 167 and the new remainder 67,and apply the division lemma to get
167 = 67 x 2 + 33
We consider the new divisor 67 and the new remainder 33,and apply the division lemma to get
67 = 33 x 2 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3576 and 635 is 1
Notice that 1 = HCF(33,1) = HCF(67,33) = HCF(167,67) = HCF(234,167) = HCF(401,234) = HCF(635,401) = HCF(3576,635) .
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 3576, 635?
Answer: HCF of 3576, 635 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3576, 635 using Euclid's Algorithm?
Answer: For arbitrary numbers 3576, 635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.