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 944, 612 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 944, 612 is 4 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 944, 612 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 944, 612 is 4.
HCF(944, 612) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 944, 612 is 4.
Step 1: Since 944 > 612, we apply the division lemma to 944 and 612, to get
944 = 612 x 1 + 332
Step 2: Since the reminder 612 ≠ 0, we apply division lemma to 332 and 612, to get
612 = 332 x 1 + 280
Step 3: We consider the new divisor 332 and the new remainder 280, and apply the division lemma to get
332 = 280 x 1 + 52
We consider the new divisor 280 and the new remainder 52,and apply the division lemma to get
280 = 52 x 5 + 20
We consider the new divisor 52 and the new remainder 20,and apply the division lemma to get
52 = 20 x 2 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 944 and 612 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(52,20) = HCF(280,52) = HCF(332,280) = HCF(612,332) = HCF(944,612) .
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 944, 612?
Answer: HCF of 944, 612 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 944, 612 using Euclid's Algorithm?
Answer: For arbitrary numbers 944, 612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.