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 609, 7208 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 609, 7208 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 609, 7208 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 609, 7208 is 1.
HCF(609, 7208) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 609, 7208 is 1.
Step 1: Since 7208 > 609, we apply the division lemma to 7208 and 609, to get
7208 = 609 x 11 + 509
Step 2: Since the reminder 609 ≠ 0, we apply division lemma to 509 and 609, to get
609 = 509 x 1 + 100
Step 3: We consider the new divisor 509 and the new remainder 100, and apply the division lemma to get
509 = 100 x 5 + 9
We consider the new divisor 100 and the new remainder 9,and apply the division lemma to get
100 = 9 x 11 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 609 and 7208 is 1
Notice that 1 = HCF(9,1) = HCF(100,9) = HCF(509,100) = HCF(609,509) = HCF(7208,609) .
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 609, 7208?
Answer: HCF of 609, 7208 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 609, 7208 using Euclid's Algorithm?
Answer: For arbitrary numbers 609, 7208 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.