Highest Common Factor of 1174, 7132 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 1174, 7132 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1174, 7132 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 1174, 7132 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 1174, 7132 is 2.
HCF(1174, 7132) = 2
HCF of 1174, 7132 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1174, 7132 is 2.
Highest Common Factor of 1174,7132 is 2
Step 1: Since 7132 > 1174, we apply the division lemma to 7132 and 1174, to get
7132 = 1174 x 6 + 88
Step 2: Since the reminder 1174 ≠ 0, we apply division lemma to 88 and 1174, to get
1174 = 88 x 13 + 30
Step 3: We consider the new divisor 88 and the new remainder 30, and apply the division lemma to get
88 = 30 x 2 + 28
We consider the new divisor 30 and the new remainder 28,and apply the division lemma to get
30 = 28 x 1 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1174 and 7132 is 2
Notice that 2 = HCF(28,2) = HCF(30,28) = HCF(88,30) = HCF(1174,88) = HCF(7132,1174) .
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Frequently Asked Questions on HCF of 1174, 7132 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 1174, 7132?
Answer: HCF of 1174, 7132 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1174, 7132 using Euclid's Algorithm?
Answer: For arbitrary numbers 1174, 7132 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
