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 4944, 4677, 53172 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4944, 4677, 53172 is 3 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 4944, 4677, 53172 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 4944, 4677, 53172 is 3.
HCF(4944, 4677, 53172) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4944, 4677, 53172 is 3.
Step 1: Since 4944 > 4677, we apply the division lemma to 4944 and 4677, to get
4944 = 4677 x 1 + 267
Step 2: Since the reminder 4677 ≠ 0, we apply division lemma to 267 and 4677, to get
4677 = 267 x 17 + 138
Step 3: We consider the new divisor 267 and the new remainder 138, and apply the division lemma to get
267 = 138 x 1 + 129
We consider the new divisor 138 and the new remainder 129,and apply the division lemma to get
138 = 129 x 1 + 9
We consider the new divisor 129 and the new remainder 9,and apply the division lemma to get
129 = 9 x 14 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4944 and 4677 is 3
Notice that 3 = HCF(9,3) = HCF(129,9) = HCF(138,129) = HCF(267,138) = HCF(4677,267) = HCF(4944,4677) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53172 > 3, we apply the division lemma to 53172 and 3, to get
53172 = 3 x 17724 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 53172 is 3
Notice that 3 = HCF(53172,3) .
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 4944, 4677, 53172?
Answer: HCF of 4944, 4677, 53172 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4944, 4677, 53172 using Euclid's Algorithm?
Answer: For arbitrary numbers 4944, 4677, 53172 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.