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, 80276 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 635, 80276 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, 80276 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, 80276 is 1.
HCF(635, 80276) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 635, 80276 is 1.
Step 1: Since 80276 > 635, we apply the division lemma to 80276 and 635, to get
80276 = 635 x 126 + 266
Step 2: Since the reminder 635 ≠ 0, we apply division lemma to 266 and 635, to get
635 = 266 x 2 + 103
Step 3: We consider the new divisor 266 and the new remainder 103, and apply the division lemma to get
266 = 103 x 2 + 60
We consider the new divisor 103 and the new remainder 60,and apply the division lemma to get
103 = 60 x 1 + 43
We consider the new divisor 60 and the new remainder 43,and apply the division lemma to get
60 = 43 x 1 + 17
We consider the new divisor 43 and the new remainder 17,and apply the division lemma to get
43 = 17 x 2 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 635 and 80276 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(43,17) = HCF(60,43) = HCF(103,60) = HCF(266,103) = HCF(635,266) = HCF(80276,635) .
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, 80276?
Answer: HCF of 635, 80276 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 635, 80276 using Euclid's Algorithm?
Answer: For arbitrary numbers 635, 80276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.