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 4871, 4092 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4871, 4092 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 4871, 4092 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 4871, 4092 is 1.
HCF(4871, 4092) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4871, 4092 is 1.
Step 1: Since 4871 > 4092, we apply the division lemma to 4871 and 4092, to get
4871 = 4092 x 1 + 779
Step 2: Since the reminder 4092 ≠ 0, we apply division lemma to 779 and 4092, to get
4092 = 779 x 5 + 197
Step 3: We consider the new divisor 779 and the new remainder 197, and apply the division lemma to get
779 = 197 x 3 + 188
We consider the new divisor 197 and the new remainder 188,and apply the division lemma to get
197 = 188 x 1 + 9
We consider the new divisor 188 and the new remainder 9,and apply the division lemma to get
188 = 9 x 20 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4871 and 4092 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(188,9) = HCF(197,188) = HCF(779,197) = HCF(4092,779) = HCF(4871,4092) .
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 4871, 4092?
Answer: HCF of 4871, 4092 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4871, 4092 using Euclid's Algorithm?
Answer: For arbitrary numbers 4871, 4092 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.