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 909, 8915, 4020 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 909, 8915, 4020 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 909, 8915, 4020 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 909, 8915, 4020 is 1.
HCF(909, 8915, 4020) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 909, 8915, 4020 is 1.
Step 1: Since 8915 > 909, we apply the division lemma to 8915 and 909, to get
8915 = 909 x 9 + 734
Step 2: Since the reminder 909 ≠ 0, we apply division lemma to 734 and 909, to get
909 = 734 x 1 + 175
Step 3: We consider the new divisor 734 and the new remainder 175, and apply the division lemma to get
734 = 175 x 4 + 34
We consider the new divisor 175 and the new remainder 34,and apply the division lemma to get
175 = 34 x 5 + 5
We consider the new divisor 34 and the new remainder 5,and apply the division lemma to get
34 = 5 x 6 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 909 and 8915 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) = HCF(175,34) = HCF(734,175) = HCF(909,734) = HCF(8915,909) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4020 > 1, we apply the division lemma to 4020 and 1, to get
4020 = 1 x 4020 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4020 is 1
Notice that 1 = HCF(4020,1) .
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 909, 8915, 4020?
Answer: HCF of 909, 8915, 4020 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 909, 8915, 4020 using Euclid's Algorithm?
Answer: For arbitrary numbers 909, 8915, 4020 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.