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 1503, 2575, 45478 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1503, 2575, 45478 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 1503, 2575, 45478 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 1503, 2575, 45478 is 1.
HCF(1503, 2575, 45478) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1503, 2575, 45478 is 1.
Step 1: Since 2575 > 1503, we apply the division lemma to 2575 and 1503, to get
2575 = 1503 x 1 + 1072
Step 2: Since the reminder 1503 ≠ 0, we apply division lemma to 1072 and 1503, to get
1503 = 1072 x 1 + 431
Step 3: We consider the new divisor 1072 and the new remainder 431, and apply the division lemma to get
1072 = 431 x 2 + 210
We consider the new divisor 431 and the new remainder 210,and apply the division lemma to get
431 = 210 x 2 + 11
We consider the new divisor 210 and the new remainder 11,and apply the division lemma to get
210 = 11 x 19 + 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 1503 and 2575 is 1
Notice that 1 = HCF(11,1) = HCF(210,11) = HCF(431,210) = HCF(1072,431) = HCF(1503,1072) = HCF(2575,1503) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 45478 > 1, we apply the division lemma to 45478 and 1, to get
45478 = 1 x 45478 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 45478 is 1
Notice that 1 = HCF(45478,1) .
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 1503, 2575, 45478?
Answer: HCF of 1503, 2575, 45478 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1503, 2575, 45478 using Euclid's Algorithm?
Answer: For arbitrary numbers 1503, 2575, 45478 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.