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 772, 6052 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 772, 6052 is 4 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 772, 6052 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 772, 6052 is 4.
HCF(772, 6052) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 772, 6052 is 4.
Step 1: Since 6052 > 772, we apply the division lemma to 6052 and 772, to get
6052 = 772 x 7 + 648
Step 2: Since the reminder 772 ≠ 0, we apply division lemma to 648 and 772, to get
772 = 648 x 1 + 124
Step 3: We consider the new divisor 648 and the new remainder 124, and apply the division lemma to get
648 = 124 x 5 + 28
We consider the new divisor 124 and the new remainder 28,and apply the division lemma to get
124 = 28 x 4 + 12
We consider the new divisor 28 and the new remainder 12,and apply the division lemma to get
28 = 12 x 2 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 772 and 6052 is 4
Notice that 4 = HCF(12,4) = HCF(28,12) = HCF(124,28) = HCF(648,124) = HCF(772,648) = HCF(6052,772) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 772, 6052?
Answer: HCF of 772, 6052 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 772, 6052 using Euclid's Algorithm?
Answer: For arbitrary numbers 772, 6052 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.