Highest Common Factor of 1147, 4238 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 1147, 4238 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1147, 4238 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 1147, 4238 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 1147, 4238 is 1.
HCF(1147, 4238) = 1
HCF of 1147, 4238 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1147, 4238 is 1.
Highest Common Factor of 1147,4238 is 1
Step 1: Since 4238 > 1147, we apply the division lemma to 4238 and 1147, to get
4238 = 1147 x 3 + 797
Step 2: Since the reminder 1147 ≠ 0, we apply division lemma to 797 and 1147, to get
1147 = 797 x 1 + 350
Step 3: We consider the new divisor 797 and the new remainder 350, and apply the division lemma to get
797 = 350 x 2 + 97
We consider the new divisor 350 and the new remainder 97,and apply the division lemma to get
350 = 97 x 3 + 59
We consider the new divisor 97 and the new remainder 59,and apply the division lemma to get
97 = 59 x 1 + 38
We consider the new divisor 59 and the new remainder 38,and apply the division lemma to get
59 = 38 x 1 + 21
We consider the new divisor 38 and the new remainder 21,and apply the division lemma to get
38 = 21 x 1 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1147 and 4238 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(38,21) = HCF(59,38) = HCF(97,59) = HCF(350,97) = HCF(797,350) = HCF(1147,797) = HCF(4238,1147) .
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Frequently Asked Questions on HCF of 1147, 4238 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 1147, 4238?
Answer: HCF of 1147, 4238 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1147, 4238 using Euclid's Algorithm?
Answer: For arbitrary numbers 1147, 4238 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.