Highest Common Factor of 680, 340, 599 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 680, 340, 599 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 680, 340, 599 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 680, 340, 599 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 680, 340, 599 is 1.
HCF(680, 340, 599) = 1
HCF of 680, 340, 599 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 680, 340, 599 is 1.
Highest Common Factor of 680,340,599 is 1
Step 1: Since 680 > 340, we apply the division lemma to 680 and 340, to get
680 = 340 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 340, the HCF of 680 and 340 is 340
Notice that 340 = HCF(680,340) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 599 > 340, we apply the division lemma to 599 and 340, to get
599 = 340 x 1 + 259
Step 2: Since the reminder 340 ≠ 0, we apply division lemma to 259 and 340, to get
340 = 259 x 1 + 81
Step 3: We consider the new divisor 259 and the new remainder 81, and apply the division lemma to get
259 = 81 x 3 + 16
We consider the new divisor 81 and the new remainder 16,and apply the division lemma to get
81 = 16 x 5 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 340 and 599 is 1
Notice that 1 = HCF(16,1) = HCF(81,16) = HCF(259,81) = HCF(340,259) = HCF(599,340) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 680, 340, 599 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 680, 340, 599?
Answer: HCF of 680, 340, 599 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 680, 340, 599 using Euclid's Algorithm?
Answer: For arbitrary numbers 680, 340, 599 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.