Highest Common Factor of 5394, 7020 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 5394, 7020 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 5394, 7020 is 6 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 5394, 7020 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 5394, 7020 is 6.
HCF(5394, 7020) = 6
HCF of 5394, 7020 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5394, 7020 is 6.
Highest Common Factor of 5394,7020 is 6
Step 1: Since 7020 > 5394, we apply the division lemma to 7020 and 5394, to get
7020 = 5394 x 1 + 1626
Step 2: Since the reminder 5394 ≠ 0, we apply division lemma to 1626 and 5394, to get
5394 = 1626 x 3 + 516
Step 3: We consider the new divisor 1626 and the new remainder 516, and apply the division lemma to get
1626 = 516 x 3 + 78
We consider the new divisor 516 and the new remainder 78,and apply the division lemma to get
516 = 78 x 6 + 48
We consider the new divisor 78 and the new remainder 48,and apply the division lemma to get
78 = 48 x 1 + 30
We consider the new divisor 48 and the new remainder 30,and apply the division lemma to get
48 = 30 x 1 + 18
We consider the new divisor 30 and the new remainder 18,and apply the division lemma to get
30 = 18 x 1 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5394 and 7020 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(30,18) = HCF(48,30) = HCF(78,48) = HCF(516,78) = HCF(1626,516) = HCF(5394,1626) = HCF(7020,5394) .
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Frequently Asked Questions on HCF of 5394, 7020 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 5394, 7020?
Answer: HCF of 5394, 7020 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5394, 7020 using Euclid's Algorithm?
Answer: For arbitrary numbers 5394, 7020 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.