Highest Common Factor of 6820, 1625 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 6820, 1625 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6820, 1625 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 6820, 1625 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 6820, 1625 is 5.
HCF(6820, 1625) = 5
HCF of 6820, 1625 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6820, 1625 is 5.
Highest Common Factor of 6820,1625 is 5
Step 1: Since 6820 > 1625, we apply the division lemma to 6820 and 1625, to get
6820 = 1625 x 4 + 320
Step 2: Since the reminder 1625 ≠ 0, we apply division lemma to 320 and 1625, to get
1625 = 320 x 5 + 25
Step 3: We consider the new divisor 320 and the new remainder 25, and apply the division lemma to get
320 = 25 x 12 + 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 6820 and 1625 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(320,25) = HCF(1625,320) = HCF(6820,1625) .
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Frequently Asked Questions on HCF of 6820, 1625 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 6820, 1625?
Answer: HCF of 6820, 1625 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6820, 1625 using Euclid's Algorithm?
Answer: For arbitrary numbers 6820, 1625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.