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 1553, 5912 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1553, 5912 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 1553, 5912 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 1553, 5912 is 1.
HCF(1553, 5912) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1553, 5912 is 1.
Step 1: Since 5912 > 1553, we apply the division lemma to 5912 and 1553, to get
5912 = 1553 x 3 + 1253
Step 2: Since the reminder 1553 ≠ 0, we apply division lemma to 1253 and 1553, to get
1553 = 1253 x 1 + 300
Step 3: We consider the new divisor 1253 and the new remainder 300, and apply the division lemma to get
1253 = 300 x 4 + 53
We consider the new divisor 300 and the new remainder 53,and apply the division lemma to get
300 = 53 x 5 + 35
We consider the new divisor 53 and the new remainder 35,and apply the division lemma to get
53 = 35 x 1 + 18
We consider the new divisor 35 and the new remainder 18,and apply the division lemma to get
35 = 18 x 1 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1553 and 5912 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(53,35) = HCF(300,53) = HCF(1253,300) = HCF(1553,1253) = HCF(5912,1553) .
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 1553, 5912?
Answer: HCF of 1553, 5912 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1553, 5912 using Euclid's Algorithm?
Answer: For arbitrary numbers 1553, 5912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.