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 869, 630 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 869, 630 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 869, 630 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 869, 630 is 1.
HCF(869, 630) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 869, 630 is 1.
Step 1: Since 869 > 630, we apply the division lemma to 869 and 630, to get
869 = 630 x 1 + 239
Step 2: Since the reminder 630 ≠ 0, we apply division lemma to 239 and 630, to get
630 = 239 x 2 + 152
Step 3: We consider the new divisor 239 and the new remainder 152, and apply the division lemma to get
239 = 152 x 1 + 87
We consider the new divisor 152 and the new remainder 87,and apply the division lemma to get
152 = 87 x 1 + 65
We consider the new divisor 87 and the new remainder 65,and apply the division lemma to get
87 = 65 x 1 + 22
We consider the new divisor 65 and the new remainder 22,and apply the division lemma to get
65 = 22 x 2 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 869 and 630 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(65,22) = HCF(87,65) = HCF(152,87) = HCF(239,152) = HCF(630,239) = HCF(869,630) .
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 869, 630?
Answer: HCF of 869, 630 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 869, 630 using Euclid's Algorithm?
Answer: For arbitrary numbers 869, 630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.