Highest Common Factor of 5645, 7825 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 5645, 7825 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5645, 7825 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 5645, 7825 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 5645, 7825 is 5.
HCF(5645, 7825) = 5
HCF of 5645, 7825 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5645, 7825 is 5.
Highest Common Factor of 5645,7825 is 5
Step 1: Since 7825 > 5645, we apply the division lemma to 7825 and 5645, to get
7825 = 5645 x 1 + 2180
Step 2: Since the reminder 5645 ≠ 0, we apply division lemma to 2180 and 5645, to get
5645 = 2180 x 2 + 1285
Step 3: We consider the new divisor 2180 and the new remainder 1285, and apply the division lemma to get
2180 = 1285 x 1 + 895
We consider the new divisor 1285 and the new remainder 895,and apply the division lemma to get
1285 = 895 x 1 + 390
We consider the new divisor 895 and the new remainder 390,and apply the division lemma to get
895 = 390 x 2 + 115
We consider the new divisor 390 and the new remainder 115,and apply the division lemma to get
390 = 115 x 3 + 45
We consider the new divisor 115 and the new remainder 45,and apply the division lemma to get
115 = 45 x 2 + 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 5645 and 7825 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(45,25) = HCF(115,45) = HCF(390,115) = HCF(895,390) = HCF(1285,895) = HCF(2180,1285) = HCF(5645,2180) = HCF(7825,5645) .
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Frequently Asked Questions on HCF of 5645, 7825 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 5645, 7825?
Answer: HCF of 5645, 7825 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5645, 7825 using Euclid's Algorithm?
Answer: For arbitrary numbers 5645, 7825 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.