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 593, 983, 799, 266 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 593, 983, 799, 266 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 593, 983, 799, 266 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 593, 983, 799, 266 is 1.
HCF(593, 983, 799, 266) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 593, 983, 799, 266 is 1.
Step 1: Since 983 > 593, we apply the division lemma to 983 and 593, to get
983 = 593 x 1 + 390
Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 390 and 593, to get
593 = 390 x 1 + 203
Step 3: We consider the new divisor 390 and the new remainder 203, and apply the division lemma to get
390 = 203 x 1 + 187
We consider the new divisor 203 and the new remainder 187,and apply the division lemma to get
203 = 187 x 1 + 16
We consider the new divisor 187 and the new remainder 16,and apply the division lemma to get
187 = 16 x 11 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 593 and 983 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(187,16) = HCF(203,187) = HCF(390,203) = HCF(593,390) = HCF(983,593) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 799 > 1, we apply the division lemma to 799 and 1, to get
799 = 1 x 799 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 799 is 1
Notice that 1 = HCF(799,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 266 > 1, we apply the division lemma to 266 and 1, to get
266 = 1 x 266 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 266 is 1
Notice that 1 = HCF(266,1) .
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 593, 983, 799, 266?
Answer: HCF of 593, 983, 799, 266 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 593, 983, 799, 266 using Euclid's Algorithm?
Answer: For arbitrary numbers 593, 983, 799, 266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.