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 685, 3599 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 685, 3599 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 685, 3599 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 685, 3599 is 1.
HCF(685, 3599) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 685, 3599 is 1.
Step 1: Since 3599 > 685, we apply the division lemma to 3599 and 685, to get
3599 = 685 x 5 + 174
Step 2: Since the reminder 685 ≠ 0, we apply division lemma to 174 and 685, to get
685 = 174 x 3 + 163
Step 3: We consider the new divisor 174 and the new remainder 163, and apply the division lemma to get
174 = 163 x 1 + 11
We consider the new divisor 163 and the new remainder 11,and apply the division lemma to get
163 = 11 x 14 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 685 and 3599 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(163,11) = HCF(174,163) = HCF(685,174) = HCF(3599,685) .
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 685, 3599?
Answer: HCF of 685, 3599 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 685, 3599 using Euclid's Algorithm?
Answer: For arbitrary numbers 685, 3599 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.