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 7885, 6439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7885, 6439 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 7885, 6439 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 7885, 6439 is 1.
HCF(7885, 6439) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7885, 6439 is 1.
Step 1: Since 7885 > 6439, we apply the division lemma to 7885 and 6439, to get
7885 = 6439 x 1 + 1446
Step 2: Since the reminder 6439 ≠ 0, we apply division lemma to 1446 and 6439, to get
6439 = 1446 x 4 + 655
Step 3: We consider the new divisor 1446 and the new remainder 655, and apply the division lemma to get
1446 = 655 x 2 + 136
We consider the new divisor 655 and the new remainder 136,and apply the division lemma to get
655 = 136 x 4 + 111
We consider the new divisor 136 and the new remainder 111,and apply the division lemma to get
136 = 111 x 1 + 25
We consider the new divisor 111 and the new remainder 25,and apply the division lemma to get
111 = 25 x 4 + 11
We consider the new divisor 25 and the new remainder 11,and apply the division lemma to get
25 = 11 x 2 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 7885 and 6439 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(111,25) = HCF(136,111) = HCF(655,136) = HCF(1446,655) = HCF(6439,1446) = HCF(7885,6439) .
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 7885, 6439?
Answer: HCF of 7885, 6439 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7885, 6439 using Euclid's Algorithm?
Answer: For arbitrary numbers 7885, 6439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.