Highest Common Factor of 3615, 7760 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 3615, 7760 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3615, 7760 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 3615, 7760 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 3615, 7760 is 5.
HCF(3615, 7760) = 5
HCF of 3615, 7760 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3615, 7760 is 5.
Highest Common Factor of 3615,7760 is 5
Step 1: Since 7760 > 3615, we apply the division lemma to 7760 and 3615, to get
7760 = 3615 x 2 + 530
Step 2: Since the reminder 3615 ≠ 0, we apply division lemma to 530 and 3615, to get
3615 = 530 x 6 + 435
Step 3: We consider the new divisor 530 and the new remainder 435, and apply the division lemma to get
530 = 435 x 1 + 95
We consider the new divisor 435 and the new remainder 95,and apply the division lemma to get
435 = 95 x 4 + 55
We consider the new divisor 95 and the new remainder 55,and apply the division lemma to get
95 = 55 x 1 + 40
We consider the new divisor 55 and the new remainder 40,and apply the division lemma to get
55 = 40 x 1 + 15
We consider the new divisor 40 and the new remainder 15,and apply the division lemma to get
40 = 15 x 2 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 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 3615 and 7760 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(40,15) = HCF(55,40) = HCF(95,55) = HCF(435,95) = HCF(530,435) = HCF(3615,530) = HCF(7760,3615) .
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Frequently Asked Questions on HCF of 3615, 7760 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 3615, 7760?
Answer: HCF of 3615, 7760 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3615, 7760 using Euclid's Algorithm?
Answer: For arbitrary numbers 3615, 7760 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.