Highest Common Factor of 6310, 9235 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 6310, 9235 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6310, 9235 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 6310, 9235 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 6310, 9235 is 5.
HCF(6310, 9235) = 5
HCF of 6310, 9235 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6310, 9235 is 5.
Highest Common Factor of 6310,9235 is 5
Step 1: Since 9235 > 6310, we apply the division lemma to 9235 and 6310, to get
9235 = 6310 x 1 + 2925
Step 2: Since the reminder 6310 ≠ 0, we apply division lemma to 2925 and 6310, to get
6310 = 2925 x 2 + 460
Step 3: We consider the new divisor 2925 and the new remainder 460, and apply the division lemma to get
2925 = 460 x 6 + 165
We consider the new divisor 460 and the new remainder 165,and apply the division lemma to get
460 = 165 x 2 + 130
We consider the new divisor 165 and the new remainder 130,and apply the division lemma to get
165 = 130 x 1 + 35
We consider the new divisor 130 and the new remainder 35,and apply the division lemma to get
130 = 35 x 3 + 25
We consider the new divisor 35 and the new remainder 25,and apply the division lemma to get
35 = 25 x 1 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 6310 and 9235 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(35,25) = HCF(130,35) = HCF(165,130) = HCF(460,165) = HCF(2925,460) = HCF(6310,2925) = HCF(9235,6310) .
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Frequently Asked Questions on HCF of 6310, 9235 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 6310, 9235?
Answer: HCF of 6310, 9235 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6310, 9235 using Euclid's Algorithm?
Answer: For arbitrary numbers 6310, 9235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.