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 6892, 4169 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6892, 4169 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 6892, 4169 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 6892, 4169 is 1.
HCF(6892, 4169) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6892, 4169 is 1.
Step 1: Since 6892 > 4169, we apply the division lemma to 6892 and 4169, to get
6892 = 4169 x 1 + 2723
Step 2: Since the reminder 4169 ≠ 0, we apply division lemma to 2723 and 4169, to get
4169 = 2723 x 1 + 1446
Step 3: We consider the new divisor 2723 and the new remainder 1446, and apply the division lemma to get
2723 = 1446 x 1 + 1277
We consider the new divisor 1446 and the new remainder 1277,and apply the division lemma to get
1446 = 1277 x 1 + 169
We consider the new divisor 1277 and the new remainder 169,and apply the division lemma to get
1277 = 169 x 7 + 94
We consider the new divisor 169 and the new remainder 94,and apply the division lemma to get
169 = 94 x 1 + 75
We consider the new divisor 94 and the new remainder 75,and apply the division lemma to get
94 = 75 x 1 + 19
We consider the new divisor 75 and the new remainder 19,and apply the division lemma to get
75 = 19 x 3 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6892 and 4169 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(75,19) = HCF(94,75) = HCF(169,94) = HCF(1277,169) = HCF(1446,1277) = HCF(2723,1446) = HCF(4169,2723) = HCF(6892,4169) .
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 6892, 4169?
Answer: HCF of 6892, 4169 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6892, 4169 using Euclid's Algorithm?
Answer: For arbitrary numbers 6892, 4169 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.