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 790, 516, 24, 470 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 790, 516, 24, 470 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 790, 516, 24, 470 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 790, 516, 24, 470 is 2.
HCF(790, 516, 24, 470) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 790, 516, 24, 470 is 2.
Step 1: Since 790 > 516, we apply the division lemma to 790 and 516, to get
790 = 516 x 1 + 274
Step 2: Since the reminder 516 ≠ 0, we apply division lemma to 274 and 516, to get
516 = 274 x 1 + 242
Step 3: We consider the new divisor 274 and the new remainder 242, and apply the division lemma to get
274 = 242 x 1 + 32
We consider the new divisor 242 and the new remainder 32,and apply the division lemma to get
242 = 32 x 7 + 18
We consider the new divisor 32 and the new remainder 18,and apply the division lemma to get
32 = 18 x 1 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 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 790 and 516 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(32,18) = HCF(242,32) = HCF(274,242) = HCF(516,274) = HCF(790,516) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 24 > 2, we apply the division lemma to 24 and 2, to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 24 is 2
Notice that 2 = HCF(24,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 470 > 2, we apply the division lemma to 470 and 2, to get
470 = 2 x 235 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 470 is 2
Notice that 2 = HCF(470,2) .
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 790, 516, 24, 470?
Answer: HCF of 790, 516, 24, 470 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 790, 516, 24, 470 using Euclid's Algorithm?
Answer: For arbitrary numbers 790, 516, 24, 470 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.