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 4430, 7881, 68683 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4430, 7881, 68683 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 4430, 7881, 68683 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 4430, 7881, 68683 is 1.
HCF(4430, 7881, 68683) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4430, 7881, 68683 is 1.
Step 1: Since 7881 > 4430, we apply the division lemma to 7881 and 4430, to get
7881 = 4430 x 1 + 3451
Step 2: Since the reminder 4430 ≠ 0, we apply division lemma to 3451 and 4430, to get
4430 = 3451 x 1 + 979
Step 3: We consider the new divisor 3451 and the new remainder 979, and apply the division lemma to get
3451 = 979 x 3 + 514
We consider the new divisor 979 and the new remainder 514,and apply the division lemma to get
979 = 514 x 1 + 465
We consider the new divisor 514 and the new remainder 465,and apply the division lemma to get
514 = 465 x 1 + 49
We consider the new divisor 465 and the new remainder 49,and apply the division lemma to get
465 = 49 x 9 + 24
We consider the new divisor 49 and the new remainder 24,and apply the division lemma to get
49 = 24 x 2 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4430 and 7881 is 1
Notice that 1 = HCF(24,1) = HCF(49,24) = HCF(465,49) = HCF(514,465) = HCF(979,514) = HCF(3451,979) = HCF(4430,3451) = HCF(7881,4430) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68683 > 1, we apply the division lemma to 68683 and 1, to get
68683 = 1 x 68683 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68683 is 1
Notice that 1 = HCF(68683,1) .
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 4430, 7881, 68683?
Answer: HCF of 4430, 7881, 68683 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4430, 7881, 68683 using Euclid's Algorithm?
Answer: For arbitrary numbers 4430, 7881, 68683 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.