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 830, 673 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 830, 673 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 830, 673 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 830, 673 is 1.
HCF(830, 673) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 830, 673 is 1.
Step 1: Since 830 > 673, we apply the division lemma to 830 and 673, to get
830 = 673 x 1 + 157
Step 2: Since the reminder 673 ≠ 0, we apply division lemma to 157 and 673, to get
673 = 157 x 4 + 45
Step 3: We consider the new divisor 157 and the new remainder 45, and apply the division lemma to get
157 = 45 x 3 + 22
We consider the new divisor 45 and the new remainder 22,and apply the division lemma to get
45 = 22 x 2 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 830 and 673 is 1
Notice that 1 = HCF(22,1) = HCF(45,22) = HCF(157,45) = HCF(673,157) = HCF(830,673) .
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 830, 673?
Answer: HCF of 830, 673 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 830, 673 using Euclid's Algorithm?
Answer: For arbitrary numbers 830, 673 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.