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 506, 799, 856 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 506, 799, 856 is 1 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 506, 799, 856 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 506, 799, 856 is 1.
HCF(506, 799, 856) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 506, 799, 856 is 1.
Step 1: Since 799 > 506, we apply the division lemma to 799 and 506, to get
799 = 506 x 1 + 293
Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 293 and 506, to get
506 = 293 x 1 + 213
Step 3: We consider the new divisor 293 and the new remainder 213, and apply the division lemma to get
293 = 213 x 1 + 80
We consider the new divisor 213 and the new remainder 80,and apply the division lemma to get
213 = 80 x 2 + 53
We consider the new divisor 80 and the new remainder 53,and apply the division lemma to get
80 = 53 x 1 + 27
We consider the new divisor 53 and the new remainder 27,and apply the division lemma to get
53 = 27 x 1 + 26
We consider the new divisor 27 and the new remainder 26,and apply the division lemma to get
27 = 26 x 1 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 506 and 799 is 1
Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(53,27) = HCF(80,53) = HCF(213,80) = HCF(293,213) = HCF(506,293) = HCF(799,506) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 856 > 1, we apply the division lemma to 856 and 1, to get
856 = 1 x 856 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 856 is 1
Notice that 1 = HCF(856,1) .
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 506, 799, 856?
Answer: HCF of 506, 799, 856 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 506, 799, 856 using Euclid's Algorithm?
Answer: For arbitrary numbers 506, 799, 856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.