Highest Common Factor of 539, 343, 708 using Euclid's algorithm
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 539, 343, 708 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 539, 343, 708 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 539, 343, 708 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 539, 343, 708 is 1.
HCF(539, 343, 708) = 1
HCF of 539, 343, 708 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 539, 343, 708 is 1.
Highest Common Factor of 539,343,708 is 1
Step 1: Since 539 > 343, we apply the division lemma to 539 and 343, to get
539 = 343 x 1 + 196
Step 2: Since the reminder 343 ≠ 0, we apply division lemma to 196 and 343, to get
343 = 196 x 1 + 147
Step 3: We consider the new divisor 196 and the new remainder 147, and apply the division lemma to get
196 = 147 x 1 + 49
We consider the new divisor 147 and the new remainder 49, and apply the division lemma to get
147 = 49 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 49, the HCF of 539 and 343 is 49
Notice that 49 = HCF(147,49) = HCF(196,147) = HCF(343,196) = HCF(539,343) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 708 > 49, we apply the division lemma to 708 and 49, to get
708 = 49 x 14 + 22
Step 2: Since the reminder 49 ≠ 0, we apply division lemma to 22 and 49, to get
49 = 22 x 2 + 5
Step 3: We consider the new divisor 22 and the new remainder 5, and apply the division lemma to get
22 = 5 x 4 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 49 and 708 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(49,22) = HCF(708,49) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 539, 343, 708 using Euclid's Algorithm
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 539, 343, 708?
Answer: HCF of 539, 343, 708 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 539, 343, 708 using Euclid's Algorithm?
Answer: For arbitrary numbers 539, 343, 708 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.