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 1924, 5405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1924, 5405 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 1924, 5405 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 1924, 5405 is 1.
HCF(1924, 5405) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1924, 5405 is 1.
Step 1: Since 5405 > 1924, we apply the division lemma to 5405 and 1924, to get
5405 = 1924 x 2 + 1557
Step 2: Since the reminder 1924 ≠ 0, we apply division lemma to 1557 and 1924, to get
1924 = 1557 x 1 + 367
Step 3: We consider the new divisor 1557 and the new remainder 367, and apply the division lemma to get
1557 = 367 x 4 + 89
We consider the new divisor 367 and the new remainder 89,and apply the division lemma to get
367 = 89 x 4 + 11
We consider the new divisor 89 and the new remainder 11,and apply the division lemma to get
89 = 11 x 8 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1924 and 5405 is 1
Notice that 1 = HCF(11,1) = HCF(89,11) = HCF(367,89) = HCF(1557,367) = HCF(1924,1557) = HCF(5405,1924) .
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 1924, 5405?
Answer: HCF of 1924, 5405 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1924, 5405 using Euclid's Algorithm?
Answer: For arbitrary numbers 1924, 5405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.