Highest Common Factor of 3125, 1132 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 3125, 1132 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3125, 1132 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 3125, 1132 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 3125, 1132 is 1.
HCF(3125, 1132) = 1
HCF of 3125, 1132 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3125, 1132 is 1.
Highest Common Factor of 3125,1132 is 1
Step 1: Since 3125 > 1132, we apply the division lemma to 3125 and 1132, to get
3125 = 1132 x 2 + 861
Step 2: Since the reminder 1132 ≠ 0, we apply division lemma to 861 and 1132, to get
1132 = 861 x 1 + 271
Step 3: We consider the new divisor 861 and the new remainder 271, and apply the division lemma to get
861 = 271 x 3 + 48
We consider the new divisor 271 and the new remainder 48,and apply the division lemma to get
271 = 48 x 5 + 31
We consider the new divisor 48 and the new remainder 31,and apply the division lemma to get
48 = 31 x 1 + 17
We consider the new divisor 31 and the new remainder 17,and apply the division lemma to get
31 = 17 x 1 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 3125 and 1132 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(31,17) = HCF(48,31) = HCF(271,48) = HCF(861,271) = HCF(1132,861) = HCF(3125,1132) .
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Frequently Asked Questions on HCF of 3125, 1132 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 3125, 1132?
Answer: HCF of 3125, 1132 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3125, 1132 using Euclid's Algorithm?
Answer: For arbitrary numbers 3125, 1132 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
