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 1455, 5399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1455, 5399 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 1455, 5399 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 1455, 5399 is 1.
HCF(1455, 5399) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1455, 5399 is 1.
Step 1: Since 5399 > 1455, we apply the division lemma to 5399 and 1455, to get
5399 = 1455 x 3 + 1034
Step 2: Since the reminder 1455 ≠ 0, we apply division lemma to 1034 and 1455, to get
1455 = 1034 x 1 + 421
Step 3: We consider the new divisor 1034 and the new remainder 421, and apply the division lemma to get
1034 = 421 x 2 + 192
We consider the new divisor 421 and the new remainder 192,and apply the division lemma to get
421 = 192 x 2 + 37
We consider the new divisor 192 and the new remainder 37,and apply the division lemma to get
192 = 37 x 5 + 7
We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get
37 = 7 x 5 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1455 and 5399 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(192,37) = HCF(421,192) = HCF(1034,421) = HCF(1455,1034) = HCF(5399,1455) .
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 1455, 5399?
Answer: HCF of 1455, 5399 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1455, 5399 using Euclid's Algorithm?
Answer: For arbitrary numbers 1455, 5399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.