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 424, 730, 844 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 424, 730, 844 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 424, 730, 844 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 424, 730, 844 is 2.
HCF(424, 730, 844) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 424, 730, 844 is 2.
Step 1: Since 730 > 424, we apply the division lemma to 730 and 424, to get
730 = 424 x 1 + 306
Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 306 and 424, to get
424 = 306 x 1 + 118
Step 3: We consider the new divisor 306 and the new remainder 118, and apply the division lemma to get
306 = 118 x 2 + 70
We consider the new divisor 118 and the new remainder 70,and apply the division lemma to get
118 = 70 x 1 + 48
We consider the new divisor 70 and the new remainder 48,and apply the division lemma to get
70 = 48 x 1 + 22
We consider the new divisor 48 and the new remainder 22,and apply the division lemma to get
48 = 22 x 2 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 424 and 730 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(48,22) = HCF(70,48) = HCF(118,70) = HCF(306,118) = HCF(424,306) = HCF(730,424) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 844 > 2, we apply the division lemma to 844 and 2, to get
844 = 2 x 422 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 844 is 2
Notice that 2 = HCF(844,2) .
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 424, 730, 844?
Answer: HCF of 424, 730, 844 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 424, 730, 844 using Euclid's Algorithm?
Answer: For arbitrary numbers 424, 730, 844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.