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 8298, 4089, 99555 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8298, 4089, 99555 is 3 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 8298, 4089, 99555 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 8298, 4089, 99555 is 3.
HCF(8298, 4089, 99555) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8298, 4089, 99555 is 3.
Step 1: Since 8298 > 4089, we apply the division lemma to 8298 and 4089, to get
8298 = 4089 x 2 + 120
Step 2: Since the reminder 4089 ≠ 0, we apply division lemma to 120 and 4089, to get
4089 = 120 x 34 + 9
Step 3: We consider the new divisor 120 and the new remainder 9, and apply the division lemma to get
120 = 9 x 13 + 3
We consider the new divisor 9 and the new remainder 3, and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8298 and 4089 is 3
Notice that 3 = HCF(9,3) = HCF(120,9) = HCF(4089,120) = HCF(8298,4089) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 99555 > 3, we apply the division lemma to 99555 and 3, to get
99555 = 3 x 33185 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 99555 is 3
Notice that 3 = HCF(99555,3) .
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 8298, 4089, 99555?
Answer: HCF of 8298, 4089, 99555 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8298, 4089, 99555 using Euclid's Algorithm?
Answer: For arbitrary numbers 8298, 4089, 99555 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.