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 7489, 500 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7489, 500 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 7489, 500 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 7489, 500 is 1.
HCF(7489, 500) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7489, 500 is 1.
Step 1: Since 7489 > 500, we apply the division lemma to 7489 and 500, to get
7489 = 500 x 14 + 489
Step 2: Since the reminder 500 ≠ 0, we apply division lemma to 489 and 500, to get
500 = 489 x 1 + 11
Step 3: We consider the new divisor 489 and the new remainder 11, and apply the division lemma to get
489 = 11 x 44 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7489 and 500 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(489,11) = HCF(500,489) = HCF(7489,500) .
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 7489, 500?
Answer: HCF of 7489, 500 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7489, 500 using Euclid's Algorithm?
Answer: For arbitrary numbers 7489, 500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.