Highest Common Factor of 6772, 6022 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 6772, 6022 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6772, 6022 is 2 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 6772, 6022 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 6772, 6022 is 2.
HCF(6772, 6022) = 2
HCF of 6772, 6022 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6772, 6022 is 2.
Highest Common Factor of 6772,6022 is 2
Step 1: Since 6772 > 6022, we apply the division lemma to 6772 and 6022, to get
6772 = 6022 x 1 + 750
Step 2: Since the reminder 6022 ≠ 0, we apply division lemma to 750 and 6022, to get
6022 = 750 x 8 + 22
Step 3: We consider the new divisor 750 and the new remainder 22, and apply the division lemma to get
750 = 22 x 34 + 2
We consider the new divisor 22 and the new remainder 2, and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6772 and 6022 is 2
Notice that 2 = HCF(22,2) = HCF(750,22) = HCF(6022,750) = HCF(6772,6022) .
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Frequently Asked Questions on HCF of 6772, 6022 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 6772, 6022?
Answer: HCF of 6772, 6022 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6772, 6022 using Euclid's Algorithm?
Answer: For arbitrary numbers 6772, 6022 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.