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 939, 540, 465 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 939, 540, 465 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 939, 540, 465 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 939, 540, 465 is 3.
HCF(939, 540, 465) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 939, 540, 465 is 3.
Step 1: Since 939 > 540, we apply the division lemma to 939 and 540, to get
939 = 540 x 1 + 399
Step 2: Since the reminder 540 ≠ 0, we apply division lemma to 399 and 540, to get
540 = 399 x 1 + 141
Step 3: We consider the new divisor 399 and the new remainder 141, and apply the division lemma to get
399 = 141 x 2 + 117
We consider the new divisor 141 and the new remainder 117,and apply the division lemma to get
141 = 117 x 1 + 24
We consider the new divisor 117 and the new remainder 24,and apply the division lemma to get
117 = 24 x 4 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 939 and 540 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(117,24) = HCF(141,117) = HCF(399,141) = HCF(540,399) = HCF(939,540) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 465 > 3, we apply the division lemma to 465 and 3, to get
465 = 3 x 155 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 465 is 3
Notice that 3 = HCF(465,3) .
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 939, 540, 465?
Answer: HCF of 939, 540, 465 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 939, 540, 465 using Euclid's Algorithm?
Answer: For arbitrary numbers 939, 540, 465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.