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 4113, 6228 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 4113, 6228 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 4113, 6228 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 4113, 6228 is 9.
HCF(4113, 6228) = 9
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4113, 6228 is 9.
Step 1: Since 6228 > 4113, we apply the division lemma to 6228 and 4113, to get
6228 = 4113 x 1 + 2115
Step 2: Since the reminder 4113 ≠ 0, we apply division lemma to 2115 and 4113, to get
4113 = 2115 x 1 + 1998
Step 3: We consider the new divisor 2115 and the new remainder 1998, and apply the division lemma to get
2115 = 1998 x 1 + 117
We consider the new divisor 1998 and the new remainder 117,and apply the division lemma to get
1998 = 117 x 17 + 9
We consider the new divisor 117 and the new remainder 9,and apply the division lemma to get
117 = 9 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 4113 and 6228 is 9
Notice that 9 = HCF(117,9) = HCF(1998,117) = HCF(2115,1998) = HCF(4113,2115) = HCF(6228,4113) .
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 4113, 6228?
Answer: HCF of 4113, 6228 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4113, 6228 using Euclid's Algorithm?
Answer: For arbitrary numbers 4113, 6228 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.