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 464, 467, 607, 673 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 464, 467, 607, 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 464, 467, 607, 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 464, 467, 607, 673 is 1.
HCF(464, 467, 607, 673) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 464, 467, 607, 673 is 1.
Step 1: Since 467 > 464, we apply the division lemma to 467 and 464, to get
467 = 464 x 1 + 3
Step 2: Since the reminder 464 ≠ 0, we apply division lemma to 3 and 464, to get
464 = 3 x 154 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 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 464 and 467 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(464,3) = HCF(467,464) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 607 > 1, we apply the division lemma to 607 and 1, to get
607 = 1 x 607 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 607 is 1
Notice that 1 = HCF(607,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 673 > 1, we apply the division lemma to 673 and 1, to get
673 = 1 x 673 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 673 is 1
Notice that 1 = HCF(673,1) .
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 464, 467, 607, 673?
Answer: HCF of 464, 467, 607, 673 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 464, 467, 607, 673 using Euclid's Algorithm?
Answer: For arbitrary numbers 464, 467, 607, 673 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.