Highest Common Factor of 9630, 4375 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 9630, 4375 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9630, 4375 is 5 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 9630, 4375 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 9630, 4375 is 5.
HCF(9630, 4375) = 5
HCF of 9630, 4375 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9630, 4375 is 5.
Highest Common Factor of 9630,4375 is 5
Step 1: Since 9630 > 4375, we apply the division lemma to 9630 and 4375, to get
9630 = 4375 x 2 + 880
Step 2: Since the reminder 4375 ≠ 0, we apply division lemma to 880 and 4375, to get
4375 = 880 x 4 + 855
Step 3: We consider the new divisor 880 and the new remainder 855, and apply the division lemma to get
880 = 855 x 1 + 25
We consider the new divisor 855 and the new remainder 25,and apply the division lemma to get
855 = 25 x 34 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9630 and 4375 is 5
Notice that 5 = HCF(25,5) = HCF(855,25) = HCF(880,855) = HCF(4375,880) = HCF(9630,4375) .
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Frequently Asked Questions on HCF of 9630, 4375 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 9630, 4375?
Answer: HCF of 9630, 4375 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9630, 4375 using Euclid's Algorithm?
Answer: For arbitrary numbers 9630, 4375 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.