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 1885, 696 i.e. 29 the largest integer that leaves a remainder zero for all numbers.
HCF of 1885, 696 is 29 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 1885, 696 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 1885, 696 is 29.
HCF(1885, 696) = 29
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1885, 696 is 29.
Step 1: Since 1885 > 696, we apply the division lemma to 1885 and 696, to get
1885 = 696 x 2 + 493
Step 2: Since the reminder 696 ≠ 0, we apply division lemma to 493 and 696, to get
696 = 493 x 1 + 203
Step 3: We consider the new divisor 493 and the new remainder 203, and apply the division lemma to get
493 = 203 x 2 + 87
We consider the new divisor 203 and the new remainder 87,and apply the division lemma to get
203 = 87 x 2 + 29
We consider the new divisor 87 and the new remainder 29,and apply the division lemma to get
87 = 29 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 1885 and 696 is 29
Notice that 29 = HCF(87,29) = HCF(203,87) = HCF(493,203) = HCF(696,493) = HCF(1885,696) .
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 1885, 696?
Answer: HCF of 1885, 696 is 29 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1885, 696 using Euclid's Algorithm?
Answer: For arbitrary numbers 1885, 696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.