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 6177, 4463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6177, 4463 is 1 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 6177, 4463 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 6177, 4463 is 1.
HCF(6177, 4463) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6177, 4463 is 1.
Step 1: Since 6177 > 4463, we apply the division lemma to 6177 and 4463, to get
6177 = 4463 x 1 + 1714
Step 2: Since the reminder 4463 ≠ 0, we apply division lemma to 1714 and 4463, to get
4463 = 1714 x 2 + 1035
Step 3: We consider the new divisor 1714 and the new remainder 1035, and apply the division lemma to get
1714 = 1035 x 1 + 679
We consider the new divisor 1035 and the new remainder 679,and apply the division lemma to get
1035 = 679 x 1 + 356
We consider the new divisor 679 and the new remainder 356,and apply the division lemma to get
679 = 356 x 1 + 323
We consider the new divisor 356 and the new remainder 323,and apply the division lemma to get
356 = 323 x 1 + 33
We consider the new divisor 323 and the new remainder 33,and apply the division lemma to get
323 = 33 x 9 + 26
We consider the new divisor 33 and the new remainder 26,and apply the division lemma to get
33 = 26 x 1 + 7
We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get
26 = 7 x 3 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6177 and 4463 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(33,26) = HCF(323,33) = HCF(356,323) = HCF(679,356) = HCF(1035,679) = HCF(1714,1035) = HCF(4463,1714) = HCF(6177,4463) .
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 6177, 4463?
Answer: HCF of 6177, 4463 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6177, 4463 using Euclid's Algorithm?
Answer: For arbitrary numbers 6177, 4463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.