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 4199, 7145 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4199, 7145 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 4199, 7145 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 4199, 7145 is 1.
HCF(4199, 7145) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4199, 7145 is 1.
Step 1: Since 7145 > 4199, we apply the division lemma to 7145 and 4199, to get
7145 = 4199 x 1 + 2946
Step 2: Since the reminder 4199 ≠ 0, we apply division lemma to 2946 and 4199, to get
4199 = 2946 x 1 + 1253
Step 3: We consider the new divisor 2946 and the new remainder 1253, and apply the division lemma to get
2946 = 1253 x 2 + 440
We consider the new divisor 1253 and the new remainder 440,and apply the division lemma to get
1253 = 440 x 2 + 373
We consider the new divisor 440 and the new remainder 373,and apply the division lemma to get
440 = 373 x 1 + 67
We consider the new divisor 373 and the new remainder 67,and apply the division lemma to get
373 = 67 x 5 + 38
We consider the new divisor 67 and the new remainder 38,and apply the division lemma to get
67 = 38 x 1 + 29
We consider the new divisor 38 and the new remainder 29,and apply the division lemma to get
38 = 29 x 1 + 9
We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get
29 = 9 x 3 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 4199 and 7145 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(38,29) = HCF(67,38) = HCF(373,67) = HCF(440,373) = HCF(1253,440) = HCF(2946,1253) = HCF(4199,2946) = HCF(7145,4199) .
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 4199, 7145?
Answer: HCF of 4199, 7145 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4199, 7145 using Euclid's Algorithm?
Answer: For arbitrary numbers 4199, 7145 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.