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, 352 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 983, 352 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, 352 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, 352 is 1.
HCF(983, 352) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 983, 352 is 1.
Step 1: Since 983 > 352, we apply the division lemma to 983 and 352, to get
983 = 352 x 2 + 279
Step 2: Since the reminder 352 ≠ 0, we apply division lemma to 279 and 352, to get
352 = 279 x 1 + 73
Step 3: We consider the new divisor 279 and the new remainder 73, and apply the division lemma to get
279 = 73 x 3 + 60
We consider the new divisor 73 and the new remainder 60,and apply the division lemma to get
73 = 60 x 1 + 13
We consider the new divisor 60 and the new remainder 13,and apply the division lemma to get
60 = 13 x 4 + 8
We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 983 and 352 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(60,13) = HCF(73,60) = HCF(279,73) = HCF(352,279) = HCF(983,352) .
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 983, 352?
Answer: HCF of 983, 352 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 983, 352 using Euclid's Algorithm?
Answer: For arbitrary numbers 983, 352 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.