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 1467, 7868, 29918 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1467, 7868, 29918 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 1467, 7868, 29918 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 1467, 7868, 29918 is 1.
HCF(1467, 7868, 29918) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1467, 7868, 29918 is 1.
Step 1: Since 7868 > 1467, we apply the division lemma to 7868 and 1467, to get
7868 = 1467 x 5 + 533
Step 2: Since the reminder 1467 ≠ 0, we apply division lemma to 533 and 1467, to get
1467 = 533 x 2 + 401
Step 3: We consider the new divisor 533 and the new remainder 401, and apply the division lemma to get
533 = 401 x 1 + 132
We consider the new divisor 401 and the new remainder 132,and apply the division lemma to get
401 = 132 x 3 + 5
We consider the new divisor 132 and the new remainder 5,and apply the division lemma to get
132 = 5 x 26 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 1467 and 7868 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(132,5) = HCF(401,132) = HCF(533,401) = HCF(1467,533) = HCF(7868,1467) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 29918 > 1, we apply the division lemma to 29918 and 1, to get
29918 = 1 x 29918 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29918 is 1
Notice that 1 = HCF(29918,1) .
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 1467, 7868, 29918?
Answer: HCF of 1467, 7868, 29918 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1467, 7868, 29918 using Euclid's Algorithm?
Answer: For arbitrary numbers 1467, 7868, 29918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.