Highest Common Factor of 680, 600 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, 600 i.e. 40 the largest integer that leaves a remainder zero for all numbers.
HCF of 680, 600 is 40 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, 600 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, 600 is 40.
HCF(680, 600) = 40
HCF of 680, 600 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, 600 is 40.
Highest Common Factor of 680,600 is 40
Step 1: Since 680 > 600, we apply the division lemma to 680 and 600, to get
680 = 600 x 1 + 80
Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 80 and 600, to get
600 = 80 x 7 + 40
Step 3: We consider the new divisor 80 and the new remainder 40, and apply the division lemma to get
80 = 40 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 40, the HCF of 680 and 600 is 40
Notice that 40 = HCF(80,40) = HCF(600,80) = HCF(680,600) .
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, 600 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, 600?
Answer: HCF of 680, 600 is 40 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 680, 600 using Euclid's Algorithm?
Answer: For arbitrary numbers 680, 600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.