Highest Common Factor of 1700, 4884 using Euclid's algorithm
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 1700, 4884 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1700, 4884 is 4 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 1700, 4884 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 1700, 4884 is 4.
HCF(1700, 4884) = 4
HCF of 1700, 4884 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1700, 4884 is 4.
Highest Common Factor of 1700,4884 is 4
Step 1: Since 4884 > 1700, we apply the division lemma to 4884 and 1700, to get
4884 = 1700 x 2 + 1484
Step 2: Since the reminder 1700 ≠ 0, we apply division lemma to 1484 and 1700, to get
1700 = 1484 x 1 + 216
Step 3: We consider the new divisor 1484 and the new remainder 216, and apply the division lemma to get
1484 = 216 x 6 + 188
We consider the new divisor 216 and the new remainder 188,and apply the division lemma to get
216 = 188 x 1 + 28
We consider the new divisor 188 and the new remainder 28,and apply the division lemma to get
188 = 28 x 6 + 20
We consider the new divisor 28 and the new remainder 20,and apply the division lemma to get
28 = 20 x 1 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1700 and 4884 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(28,20) = HCF(188,28) = HCF(216,188) = HCF(1484,216) = HCF(1700,1484) = HCF(4884,1700) .
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Frequently Asked Questions on HCF of 1700, 4884 using Euclid's Algorithm
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 1700, 4884?
Answer: HCF of 1700, 4884 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1700, 4884 using Euclid's Algorithm?
Answer: For arbitrary numbers 1700, 4884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.