Highest Common Factor of 596, 345, 438 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 596, 345, 438 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 596, 345, 438 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 596, 345, 438 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 596, 345, 438 is 1.
HCF(596, 345, 438) = 1
HCF of 596, 345, 438 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 596, 345, 438 is 1.
Highest Common Factor of 596,345,438 is 1
Step 1: Since 596 > 345, we apply the division lemma to 596 and 345, to get
596 = 345 x 1 + 251
Step 2: Since the reminder 345 ≠ 0, we apply division lemma to 251 and 345, to get
345 = 251 x 1 + 94
Step 3: We consider the new divisor 251 and the new remainder 94, and apply the division lemma to get
251 = 94 x 2 + 63
We consider the new divisor 94 and the new remainder 63,and apply the division lemma to get
94 = 63 x 1 + 31
We consider the new divisor 63 and the new remainder 31,and apply the division lemma to get
63 = 31 x 2 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 596 and 345 is 1
Notice that 1 = HCF(31,1) = HCF(63,31) = HCF(94,63) = HCF(251,94) = HCF(345,251) = HCF(596,345) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 438 > 1, we apply the division lemma to 438 and 1, to get
438 = 1 x 438 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 438 is 1
Notice that 1 = HCF(438,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 596, 345, 438 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 596, 345, 438?
Answer: HCF of 596, 345, 438 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 596, 345, 438 using Euclid's Algorithm?
Answer: For arbitrary numbers 596, 345, 438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.