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 2907, 4622, 68802 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2907, 4622, 68802 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 2907, 4622, 68802 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 2907, 4622, 68802 is 1.
HCF(2907, 4622, 68802) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2907, 4622, 68802 is 1.
Step 1: Since 4622 > 2907, we apply the division lemma to 4622 and 2907, to get
4622 = 2907 x 1 + 1715
Step 2: Since the reminder 2907 ≠ 0, we apply division lemma to 1715 and 2907, to get
2907 = 1715 x 1 + 1192
Step 3: We consider the new divisor 1715 and the new remainder 1192, and apply the division lemma to get
1715 = 1192 x 1 + 523
We consider the new divisor 1192 and the new remainder 523,and apply the division lemma to get
1192 = 523 x 2 + 146
We consider the new divisor 523 and the new remainder 146,and apply the division lemma to get
523 = 146 x 3 + 85
We consider the new divisor 146 and the new remainder 85,and apply the division lemma to get
146 = 85 x 1 + 61
We consider the new divisor 85 and the new remainder 61,and apply the division lemma to get
85 = 61 x 1 + 24
We consider the new divisor 61 and the new remainder 24,and apply the division lemma to get
61 = 24 x 2 + 13
We consider the new divisor 24 and the new remainder 13,and apply the division lemma to get
24 = 13 x 1 + 11
We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get
13 = 11 x 1 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 2907 and 4622 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(24,13) = HCF(61,24) = HCF(85,61) = HCF(146,85) = HCF(523,146) = HCF(1192,523) = HCF(1715,1192) = HCF(2907,1715) = HCF(4622,2907) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68802 > 1, we apply the division lemma to 68802 and 1, to get
68802 = 1 x 68802 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68802 is 1
Notice that 1 = HCF(68802,1) .
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 2907, 4622, 68802?
Answer: HCF of 2907, 4622, 68802 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2907, 4622, 68802 using Euclid's Algorithm?
Answer: For arbitrary numbers 2907, 4622, 68802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.