Highest Common Factor of 7765, 3650 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 7765, 3650 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7765, 3650 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 7765, 3650 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 7765, 3650 is 5.
HCF(7765, 3650) = 5
HCF of 7765, 3650 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7765, 3650 is 5.
Highest Common Factor of 7765,3650 is 5
Step 1: Since 7765 > 3650, we apply the division lemma to 7765 and 3650, to get
7765 = 3650 x 2 + 465
Step 2: Since the reminder 3650 ≠ 0, we apply division lemma to 465 and 3650, to get
3650 = 465 x 7 + 395
Step 3: We consider the new divisor 465 and the new remainder 395, and apply the division lemma to get
465 = 395 x 1 + 70
We consider the new divisor 395 and the new remainder 70,and apply the division lemma to get
395 = 70 x 5 + 45
We consider the new divisor 70 and the new remainder 45,and apply the division lemma to get
70 = 45 x 1 + 25
We consider the new divisor 45 and the new remainder 25,and apply the division lemma to get
45 = 25 x 1 + 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 7765 and 3650 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(45,25) = HCF(70,45) = HCF(395,70) = HCF(465,395) = HCF(3650,465) = HCF(7765,3650) .
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Frequently Asked Questions on HCF of 7765, 3650 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 7765, 3650?
Answer: HCF of 7765, 3650 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7765, 3650 using Euclid's Algorithm?
Answer: For arbitrary numbers 7765, 3650 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.