Highest Common Factor of 7432, 1158 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 7432, 1158 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7432, 1158 is 2 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 7432, 1158 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 7432, 1158 is 2.
HCF(7432, 1158) = 2
HCF of 7432, 1158 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7432, 1158 is 2.
Highest Common Factor of 7432,1158 is 2
Step 1: Since 7432 > 1158, we apply the division lemma to 7432 and 1158, to get
7432 = 1158 x 6 + 484
Step 2: Since the reminder 1158 ≠ 0, we apply division lemma to 484 and 1158, to get
1158 = 484 x 2 + 190
Step 3: We consider the new divisor 484 and the new remainder 190, and apply the division lemma to get
484 = 190 x 2 + 104
We consider the new divisor 190 and the new remainder 104,and apply the division lemma to get
190 = 104 x 1 + 86
We consider the new divisor 104 and the new remainder 86,and apply the division lemma to get
104 = 86 x 1 + 18
We consider the new divisor 86 and the new remainder 18,and apply the division lemma to get
86 = 18 x 4 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7432 and 1158 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(86,18) = HCF(104,86) = HCF(190,104) = HCF(484,190) = HCF(1158,484) = HCF(7432,1158) .
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Frequently Asked Questions on HCF of 7432, 1158 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 7432, 1158?
Answer: HCF of 7432, 1158 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7432, 1158 using Euclid's Algorithm?
Answer: For arbitrary numbers 7432, 1158 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.