Highest Common Factor of 983, 7256, 9999 using Euclid's algorithm
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 983, 7256, 9999 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 983, 7256, 9999 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 983, 7256, 9999 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 983, 7256, 9999 is 1.
HCF(983, 7256, 9999) = 1
HCF of 983, 7256, 9999 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 983, 7256, 9999 is 1.
Highest Common Factor of 983,7256,9999 is 1
Step 1: Since 7256 > 983, we apply the division lemma to 7256 and 983, to get
7256 = 983 x 7 + 375
Step 2: Since the reminder 983 ≠ 0, we apply division lemma to 375 and 983, to get
983 = 375 x 2 + 233
Step 3: We consider the new divisor 375 and the new remainder 233, and apply the division lemma to get
375 = 233 x 1 + 142
We consider the new divisor 233 and the new remainder 142,and apply the division lemma to get
233 = 142 x 1 + 91
We consider the new divisor 142 and the new remainder 91,and apply the division lemma to get
142 = 91 x 1 + 51
We consider the new divisor 91 and the new remainder 51,and apply the division lemma to get
91 = 51 x 1 + 40
We consider the new divisor 51 and the new remainder 40,and apply the division lemma to get
51 = 40 x 1 + 11
We consider the new divisor 40 and the new remainder 11,and apply the division lemma to get
40 = 11 x 3 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 983 and 7256 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(40,11) = HCF(51,40) = HCF(91,51) = HCF(142,91) = HCF(233,142) = HCF(375,233) = HCF(983,375) = HCF(7256,983) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9999 > 1, we apply the division lemma to 9999 and 1, to get
9999 = 1 x 9999 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9999 is 1
Notice that 1 = HCF(9999,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 983, 7256, 9999 using Euclid's Algorithm
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 983, 7256, 9999?
Answer: HCF of 983, 7256, 9999 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 983, 7256, 9999 using Euclid's Algorithm?
Answer: For arbitrary numbers 983, 7256, 9999 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.