Highest Common Factor of 7515, 8390 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 7515, 8390 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7515, 8390 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 7515, 8390 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 7515, 8390 is 5.
HCF(7515, 8390) = 5
HCF of 7515, 8390 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7515, 8390 is 5.
Highest Common Factor of 7515,8390 is 5
Step 1: Since 8390 > 7515, we apply the division lemma to 8390 and 7515, to get
8390 = 7515 x 1 + 875
Step 2: Since the reminder 7515 ≠ 0, we apply division lemma to 875 and 7515, to get
7515 = 875 x 8 + 515
Step 3: We consider the new divisor 875 and the new remainder 515, and apply the division lemma to get
875 = 515 x 1 + 360
We consider the new divisor 515 and the new remainder 360,and apply the division lemma to get
515 = 360 x 1 + 155
We consider the new divisor 360 and the new remainder 155,and apply the division lemma to get
360 = 155 x 2 + 50
We consider the new divisor 155 and the new remainder 50,and apply the division lemma to get
155 = 50 x 3 + 5
We consider the new divisor 50 and the new remainder 5,and apply the division lemma to get
50 = 5 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7515 and 8390 is 5
Notice that 5 = HCF(50,5) = HCF(155,50) = HCF(360,155) = HCF(515,360) = HCF(875,515) = HCF(7515,875) = HCF(8390,7515) .
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Frequently Asked Questions on HCF of 7515, 8390 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 7515, 8390?
Answer: HCF of 7515, 8390 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7515, 8390 using Euclid's Algorithm?
Answer: For arbitrary numbers 7515, 8390 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.