Highest Common Factor of 2470, 8275 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 2470, 8275 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 2470, 8275 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 2470, 8275 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 2470, 8275 is 5.
HCF(2470, 8275) = 5
HCF of 2470, 8275 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2470, 8275 is 5.
Highest Common Factor of 2470,8275 is 5
Step 1: Since 8275 > 2470, we apply the division lemma to 8275 and 2470, to get
8275 = 2470 x 3 + 865
Step 2: Since the reminder 2470 ≠ 0, we apply division lemma to 865 and 2470, to get
2470 = 865 x 2 + 740
Step 3: We consider the new divisor 865 and the new remainder 740, and apply the division lemma to get
865 = 740 x 1 + 125
We consider the new divisor 740 and the new remainder 125,and apply the division lemma to get
740 = 125 x 5 + 115
We consider the new divisor 125 and the new remainder 115,and apply the division lemma to get
125 = 115 x 1 + 10
We consider the new divisor 115 and the new remainder 10,and apply the division lemma to get
115 = 10 x 11 + 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 2470 and 8275 is 5
Notice that 5 = HCF(10,5) = HCF(115,10) = HCF(125,115) = HCF(740,125) = HCF(865,740) = HCF(2470,865) = HCF(8275,2470) .
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Frequently Asked Questions on HCF of 2470, 8275 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 2470, 8275?
Answer: HCF of 2470, 8275 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2470, 8275 using Euclid's Algorithm?
Answer: For arbitrary numbers 2470, 8275 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.