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 996, 570, 44 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 996, 570, 44 is 2 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 996, 570, 44 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 996, 570, 44 is 2.
HCF(996, 570, 44) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 996, 570, 44 is 2.
Step 1: Since 996 > 570, we apply the division lemma to 996 and 570, to get
996 = 570 x 1 + 426
Step 2: Since the reminder 570 ≠ 0, we apply division lemma to 426 and 570, to get
570 = 426 x 1 + 144
Step 3: We consider the new divisor 426 and the new remainder 144, and apply the division lemma to get
426 = 144 x 2 + 138
We consider the new divisor 144 and the new remainder 138,and apply the division lemma to get
144 = 138 x 1 + 6
We consider the new divisor 138 and the new remainder 6,and apply the division lemma to get
138 = 6 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 996 and 570 is 6
Notice that 6 = HCF(138,6) = HCF(144,138) = HCF(426,144) = HCF(570,426) = HCF(996,570) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 44 > 6, we apply the division lemma to 44 and 6, to get
44 = 6 x 7 + 2
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 2 and 6, to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6 and 44 is 2
Notice that 2 = HCF(6,2) = HCF(44,6) .
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 996, 570, 44?
Answer: HCF of 996, 570, 44 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 996, 570, 44 using Euclid's Algorithm?
Answer: For arbitrary numbers 996, 570, 44 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.