Highest Common Factor of 8465, 7075 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 8465, 7075 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 8465, 7075 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 8465, 7075 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 8465, 7075 is 5.
HCF(8465, 7075) = 5
HCF of 8465, 7075 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8465, 7075 is 5.
Highest Common Factor of 8465,7075 is 5
Step 1: Since 8465 > 7075, we apply the division lemma to 8465 and 7075, to get
8465 = 7075 x 1 + 1390
Step 2: Since the reminder 7075 ≠ 0, we apply division lemma to 1390 and 7075, to get
7075 = 1390 x 5 + 125
Step 3: We consider the new divisor 1390 and the new remainder 125, and apply the division lemma to get
1390 = 125 x 11 + 15
We consider the new divisor 125 and the new remainder 15,and apply the division lemma to get
125 = 15 x 8 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8465 and 7075 is 5
Notice that 5 = HCF(15,5) = HCF(125,15) = HCF(1390,125) = HCF(7075,1390) = HCF(8465,7075) .
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Frequently Asked Questions on HCF of 8465, 7075 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 8465, 7075?
Answer: HCF of 8465, 7075 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8465, 7075 using Euclid's Algorithm?
Answer: For arbitrary numbers 8465, 7075 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.