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 597, 915, 285 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 597, 915, 285 is 3 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 597, 915, 285 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 597, 915, 285 is 3.
HCF(597, 915, 285) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 597, 915, 285 is 3.
Step 1: Since 915 > 597, we apply the division lemma to 915 and 597, to get
915 = 597 x 1 + 318
Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 318 and 597, to get
597 = 318 x 1 + 279
Step 3: We consider the new divisor 318 and the new remainder 279, and apply the division lemma to get
318 = 279 x 1 + 39
We consider the new divisor 279 and the new remainder 39,and apply the division lemma to get
279 = 39 x 7 + 6
We consider the new divisor 39 and the new remainder 6,and apply the division lemma to get
39 = 6 x 6 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 597 and 915 is 3
Notice that 3 = HCF(6,3) = HCF(39,6) = HCF(279,39) = HCF(318,279) = HCF(597,318) = HCF(915,597) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 285 > 3, we apply the division lemma to 285 and 3, to get
285 = 3 x 95 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 285 is 3
Notice that 3 = HCF(285,3) .
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 597, 915, 285?
Answer: HCF of 597, 915, 285 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 597, 915, 285 using Euclid's Algorithm?
Answer: For arbitrary numbers 597, 915, 285 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.