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, 941, 712 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 596, 941, 712 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, 941, 712 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, 941, 712 is 1.
HCF(596, 941, 712) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 596, 941, 712 is 1.
Step 1: Since 941 > 596, we apply the division lemma to 941 and 596, to get
941 = 596 x 1 + 345
Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 345 and 596, to get
596 = 345 x 1 + 251
Step 3: We consider the new divisor 345 and the new remainder 251, and apply the division lemma to get
345 = 251 x 1 + 94
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 941 is 1
Notice that 1 = HCF(31,1) = HCF(63,31) = HCF(94,63) = HCF(251,94) = HCF(345,251) = HCF(596,345) = HCF(941,596) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 712 > 1, we apply the division lemma to 712 and 1, to get
712 = 1 x 712 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 712 is 1
Notice that 1 = HCF(712,1) .
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 596, 941, 712?
Answer: HCF of 596, 941, 712 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 596, 941, 712 using Euclid's Algorithm?
Answer: For arbitrary numbers 596, 941, 712 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.