Highest Common Factor of 5725, 9380 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 5725, 9380 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5725, 9380 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 5725, 9380 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 5725, 9380 is 5.
HCF(5725, 9380) = 5
HCF of 5725, 9380 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5725, 9380 is 5.
Highest Common Factor of 5725,9380 is 5
Step 1: Since 9380 > 5725, we apply the division lemma to 9380 and 5725, to get
9380 = 5725 x 1 + 3655
Step 2: Since the reminder 5725 ≠ 0, we apply division lemma to 3655 and 5725, to get
5725 = 3655 x 1 + 2070
Step 3: We consider the new divisor 3655 and the new remainder 2070, and apply the division lemma to get
3655 = 2070 x 1 + 1585
We consider the new divisor 2070 and the new remainder 1585,and apply the division lemma to get
2070 = 1585 x 1 + 485
We consider the new divisor 1585 and the new remainder 485,and apply the division lemma to get
1585 = 485 x 3 + 130
We consider the new divisor 485 and the new remainder 130,and apply the division lemma to get
485 = 130 x 3 + 95
We consider the new divisor 130 and the new remainder 95,and apply the division lemma to get
130 = 95 x 1 + 35
We consider the new divisor 95 and the new remainder 35,and apply the division lemma to get
95 = 35 x 2 + 25
We consider the new divisor 35 and the new remainder 25,and apply the division lemma to get
35 = 25 x 1 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 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 5725 and 9380 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(35,25) = HCF(95,35) = HCF(130,95) = HCF(485,130) = HCF(1585,485) = HCF(2070,1585) = HCF(3655,2070) = HCF(5725,3655) = HCF(9380,5725) .
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Frequently Asked Questions on HCF of 5725, 9380 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 5725, 9380?
Answer: HCF of 5725, 9380 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5725, 9380 using Euclid's Algorithm?
Answer: For arbitrary numbers 5725, 9380 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
