Highest Common Factor of 7425, 6470 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 7425, 6470 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7425, 6470 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 7425, 6470 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 7425, 6470 is 5.
HCF(7425, 6470) = 5
HCF of 7425, 6470 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7425, 6470 is 5.
Highest Common Factor of 7425,6470 is 5
Step 1: Since 7425 > 6470, we apply the division lemma to 7425 and 6470, to get
7425 = 6470 x 1 + 955
Step 2: Since the reminder 6470 ≠ 0, we apply division lemma to 955 and 6470, to get
6470 = 955 x 6 + 740
Step 3: We consider the new divisor 955 and the new remainder 740, and apply the division lemma to get
955 = 740 x 1 + 215
We consider the new divisor 740 and the new remainder 215,and apply the division lemma to get
740 = 215 x 3 + 95
We consider the new divisor 215 and the new remainder 95,and apply the division lemma to get
215 = 95 x 2 + 25
We consider the new divisor 95 and the new remainder 25,and apply the division lemma to get
95 = 25 x 3 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7425 and 6470 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(95,25) = HCF(215,95) = HCF(740,215) = HCF(955,740) = HCF(6470,955) = HCF(7425,6470) .
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Frequently Asked Questions on HCF of 7425, 6470 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 7425, 6470?
Answer: HCF of 7425, 6470 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7425, 6470 using Euclid's Algorithm?
Answer: For arbitrary numbers 7425, 6470 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.