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 6228, 1377 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 6228, 1377 is 9 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 6228, 1377 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 6228, 1377 is 9.
HCF(6228, 1377) = 9
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6228, 1377 is 9.
Step 1: Since 6228 > 1377, we apply the division lemma to 6228 and 1377, to get
6228 = 1377 x 4 + 720
Step 2: Since the reminder 1377 ≠ 0, we apply division lemma to 720 and 1377, to get
1377 = 720 x 1 + 657
Step 3: We consider the new divisor 720 and the new remainder 657, and apply the division lemma to get
720 = 657 x 1 + 63
We consider the new divisor 657 and the new remainder 63,and apply the division lemma to get
657 = 63 x 10 + 27
We consider the new divisor 63 and the new remainder 27,and apply the division lemma to get
63 = 27 x 2 + 9
We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 6228 and 1377 is 9
Notice that 9 = HCF(27,9) = HCF(63,27) = HCF(657,63) = HCF(720,657) = HCF(1377,720) = HCF(6228,1377) .
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 6228, 1377?
Answer: HCF of 6228, 1377 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6228, 1377 using Euclid's Algorithm?
Answer: For arbitrary numbers 6228, 1377 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.