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 4875, 9595 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4875, 9595 is 5 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 4875, 9595 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 4875, 9595 is 5.
HCF(4875, 9595) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4875, 9595 is 5.
Step 1: Since 9595 > 4875, we apply the division lemma to 9595 and 4875, to get
9595 = 4875 x 1 + 4720
Step 2: Since the reminder 4875 ≠ 0, we apply division lemma to 4720 and 4875, to get
4875 = 4720 x 1 + 155
Step 3: We consider the new divisor 4720 and the new remainder 155, and apply the division lemma to get
4720 = 155 x 30 + 70
We consider the new divisor 155 and the new remainder 70,and apply the division lemma to get
155 = 70 x 2 + 15
We consider the new divisor 70 and the new remainder 15,and apply the division lemma to get
70 = 15 x 4 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4875 and 9595 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(70,15) = HCF(155,70) = HCF(4720,155) = HCF(4875,4720) = HCF(9595,4875) .
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 4875, 9595?
Answer: HCF of 4875, 9595 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4875, 9595 using Euclid's Algorithm?
Answer: For arbitrary numbers 4875, 9595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.