Highest Common Factor of 1199, 7467 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 1199, 7467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1199, 7467 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 1199, 7467 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 1199, 7467 is 1.
HCF(1199, 7467) = 1
HCF of 1199, 7467 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1199, 7467 is 1.
Highest Common Factor of 1199,7467 is 1
Step 1: Since 7467 > 1199, we apply the division lemma to 7467 and 1199, to get
7467 = 1199 x 6 + 273
Step 2: Since the reminder 1199 ≠ 0, we apply division lemma to 273 and 1199, to get
1199 = 273 x 4 + 107
Step 3: We consider the new divisor 273 and the new remainder 107, and apply the division lemma to get
273 = 107 x 2 + 59
We consider the new divisor 107 and the new remainder 59,and apply the division lemma to get
107 = 59 x 1 + 48
We consider the new divisor 59 and the new remainder 48,and apply the division lemma to get
59 = 48 x 1 + 11
We consider the new divisor 48 and the new remainder 11,and apply the division lemma to get
48 = 11 x 4 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1199 and 7467 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(48,11) = HCF(59,48) = HCF(107,59) = HCF(273,107) = HCF(1199,273) = HCF(7467,1199) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1199, 7467 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 1199, 7467?
Answer: HCF of 1199, 7467 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1199, 7467 using Euclid's Algorithm?
Answer: For arbitrary numbers 1199, 7467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
