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 1411, 890 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1411, 890 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 1411, 890 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 1411, 890 is 1.
HCF(1411, 890) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1411, 890 is 1.
Step 1: Since 1411 > 890, we apply the division lemma to 1411 and 890, to get
1411 = 890 x 1 + 521
Step 2: Since the reminder 890 ≠ 0, we apply division lemma to 521 and 890, to get
890 = 521 x 1 + 369
Step 3: We consider the new divisor 521 and the new remainder 369, and apply the division lemma to get
521 = 369 x 1 + 152
We consider the new divisor 369 and the new remainder 152,and apply the division lemma to get
369 = 152 x 2 + 65
We consider the new divisor 152 and the new remainder 65,and apply the division lemma to get
152 = 65 x 2 + 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 1411 and 890 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(65,22) = HCF(152,65) = HCF(369,152) = HCF(521,369) = HCF(890,521) = HCF(1411,890) .
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 1411, 890?
Answer: HCF of 1411, 890 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1411, 890 using Euclid's Algorithm?
Answer: For arbitrary numbers 1411, 890 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.