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 703, 5156, 5206 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 703, 5156, 5206 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 703, 5156, 5206 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 703, 5156, 5206 is 1.
HCF(703, 5156, 5206) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 703, 5156, 5206 is 1.
Step 1: Since 5156 > 703, we apply the division lemma to 5156 and 703, to get
5156 = 703 x 7 + 235
Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 235 and 703, to get
703 = 235 x 2 + 233
Step 3: We consider the new divisor 235 and the new remainder 233, and apply the division lemma to get
235 = 233 x 1 + 2
We consider the new divisor 233 and the new remainder 2,and apply the division lemma to get
233 = 2 x 116 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 703 and 5156 is 1
Notice that 1 = HCF(2,1) = HCF(233,2) = HCF(235,233) = HCF(703,235) = HCF(5156,703) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5206 > 1, we apply the division lemma to 5206 and 1, to get
5206 = 1 x 5206 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5206 is 1
Notice that 1 = HCF(5206,1) .
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 703, 5156, 5206?
Answer: HCF of 703, 5156, 5206 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 703, 5156, 5206 using Euclid's Algorithm?
Answer: For arbitrary numbers 703, 5156, 5206 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.