Highest Common Factor of 7653, 9148 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 7653, 9148 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7653, 9148 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 7653, 9148 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 7653, 9148 is 1.
HCF(7653, 9148) = 1
HCF of 7653, 9148 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7653, 9148 is 1.
Highest Common Factor of 7653,9148 is 1
Step 1: Since 9148 > 7653, we apply the division lemma to 9148 and 7653, to get
9148 = 7653 x 1 + 1495
Step 2: Since the reminder 7653 ≠ 0, we apply division lemma to 1495 and 7653, to get
7653 = 1495 x 5 + 178
Step 3: We consider the new divisor 1495 and the new remainder 178, and apply the division lemma to get
1495 = 178 x 8 + 71
We consider the new divisor 178 and the new remainder 71,and apply the division lemma to get
178 = 71 x 2 + 36
We consider the new divisor 71 and the new remainder 36,and apply the division lemma to get
71 = 36 x 1 + 35
We consider the new divisor 36 and the new remainder 35,and apply the division lemma to get
36 = 35 x 1 + 1
We consider the new divisor 35 and the new remainder 1,and apply the division lemma to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7653 and 9148 is 1
Notice that 1 = HCF(35,1) = HCF(36,35) = HCF(71,36) = HCF(178,71) = HCF(1495,178) = HCF(7653,1495) = HCF(9148,7653) .
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Frequently Asked Questions on HCF of 7653, 9148 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 7653, 9148?
Answer: HCF of 7653, 9148 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7653, 9148 using Euclid's Algorithm?
Answer: For arbitrary numbers 7653, 9148 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.