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 4486, 2427, 56811 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4486, 2427, 56811 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 4486, 2427, 56811 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 4486, 2427, 56811 is 1.
HCF(4486, 2427, 56811) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4486, 2427, 56811 is 1.
Step 1: Since 4486 > 2427, we apply the division lemma to 4486 and 2427, to get
4486 = 2427 x 1 + 2059
Step 2: Since the reminder 2427 ≠ 0, we apply division lemma to 2059 and 2427, to get
2427 = 2059 x 1 + 368
Step 3: We consider the new divisor 2059 and the new remainder 368, and apply the division lemma to get
2059 = 368 x 5 + 219
We consider the new divisor 368 and the new remainder 219,and apply the division lemma to get
368 = 219 x 1 + 149
We consider the new divisor 219 and the new remainder 149,and apply the division lemma to get
219 = 149 x 1 + 70
We consider the new divisor 149 and the new remainder 70,and apply the division lemma to get
149 = 70 x 2 + 9
We consider the new divisor 70 and the new remainder 9,and apply the division lemma to get
70 = 9 x 7 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4486 and 2427 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(70,9) = HCF(149,70) = HCF(219,149) = HCF(368,219) = HCF(2059,368) = HCF(2427,2059) = HCF(4486,2427) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56811 > 1, we apply the division lemma to 56811 and 1, to get
56811 = 1 x 56811 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56811 is 1
Notice that 1 = HCF(56811,1) .
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 4486, 2427, 56811?
Answer: HCF of 4486, 2427, 56811 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4486, 2427, 56811 using Euclid's Algorithm?
Answer: For arbitrary numbers 4486, 2427, 56811 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.