Highest Common Factor of 3095, 7432 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 3095, 7432 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3095, 7432 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 3095, 7432 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 3095, 7432 is 1.
HCF(3095, 7432) = 1
HCF of 3095, 7432 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3095, 7432 is 1.
Highest Common Factor of 3095,7432 is 1
Step 1: Since 7432 > 3095, we apply the division lemma to 7432 and 3095, to get
7432 = 3095 x 2 + 1242
Step 2: Since the reminder 3095 ≠ 0, we apply division lemma to 1242 and 3095, to get
3095 = 1242 x 2 + 611
Step 3: We consider the new divisor 1242 and the new remainder 611, and apply the division lemma to get
1242 = 611 x 2 + 20
We consider the new divisor 611 and the new remainder 20,and apply the division lemma to get
611 = 20 x 30 + 11
We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get
20 = 11 x 1 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 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 3095 and 7432 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(611,20) = HCF(1242,611) = HCF(3095,1242) = HCF(7432,3095) .
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Frequently Asked Questions on HCF of 3095, 7432 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 3095, 7432?
Answer: HCF of 3095, 7432 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3095, 7432 using Euclid's Algorithm?
Answer: For arbitrary numbers 3095, 7432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.