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 3612, 4877 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3612, 4877 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 3612, 4877 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 3612, 4877 is 1.
HCF(3612, 4877) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3612, 4877 is 1.
Step 1: Since 4877 > 3612, we apply the division lemma to 4877 and 3612, to get
4877 = 3612 x 1 + 1265
Step 2: Since the reminder 3612 ≠ 0, we apply division lemma to 1265 and 3612, to get
3612 = 1265 x 2 + 1082
Step 3: We consider the new divisor 1265 and the new remainder 1082, and apply the division lemma to get
1265 = 1082 x 1 + 183
We consider the new divisor 1082 and the new remainder 183,and apply the division lemma to get
1082 = 183 x 5 + 167
We consider the new divisor 183 and the new remainder 167,and apply the division lemma to get
183 = 167 x 1 + 16
We consider the new divisor 167 and the new remainder 16,and apply the division lemma to get
167 = 16 x 10 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 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 3612 and 4877 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(167,16) = HCF(183,167) = HCF(1082,183) = HCF(1265,1082) = HCF(3612,1265) = HCF(4877,3612) .
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 3612, 4877?
Answer: HCF of 3612, 4877 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3612, 4877 using Euclid's Algorithm?
Answer: For arbitrary numbers 3612, 4877 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.