Highest Common Factor of 5345, 4020 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 5345, 4020 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5345, 4020 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 5345, 4020 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 5345, 4020 is 5.
HCF(5345, 4020) = 5
HCF of 5345, 4020 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5345, 4020 is 5.
Highest Common Factor of 5345,4020 is 5
Step 1: Since 5345 > 4020, we apply the division lemma to 5345 and 4020, to get
5345 = 4020 x 1 + 1325
Step 2: Since the reminder 4020 ≠ 0, we apply division lemma to 1325 and 4020, to get
4020 = 1325 x 3 + 45
Step 3: We consider the new divisor 1325 and the new remainder 45, and apply the division lemma to get
1325 = 45 x 29 + 20
We consider the new divisor 45 and the new remainder 20,and apply the division lemma to get
45 = 20 x 2 + 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 5345 and 4020 is 5
Notice that 5 = HCF(20,5) = HCF(45,20) = HCF(1325,45) = HCF(4020,1325) = HCF(5345,4020) .
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Frequently Asked Questions on HCF of 5345, 4020 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 5345, 4020?
Answer: HCF of 5345, 4020 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5345, 4020 using Euclid's Algorithm?
Answer: For arbitrary numbers 5345, 4020 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.