Highest Common Factor of 4140, 2753 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 4140, 2753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4140, 2753 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 4140, 2753 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 4140, 2753 is 1.
HCF(4140, 2753) = 1
HCF of 4140, 2753 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4140, 2753 is 1.
Highest Common Factor of 4140,2753 is 1
Step 1: Since 4140 > 2753, we apply the division lemma to 4140 and 2753, to get
4140 = 2753 x 1 + 1387
Step 2: Since the reminder 2753 ≠ 0, we apply division lemma to 1387 and 2753, to get
2753 = 1387 x 1 + 1366
Step 3: We consider the new divisor 1387 and the new remainder 1366, and apply the division lemma to get
1387 = 1366 x 1 + 21
We consider the new divisor 1366 and the new remainder 21,and apply the division lemma to get
1366 = 21 x 65 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4140 and 2753 is 1
Notice that 1 = HCF(21,1) = HCF(1366,21) = HCF(1387,1366) = HCF(2753,1387) = HCF(4140,2753) .
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Frequently Asked Questions on HCF of 4140, 2753 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 4140, 2753?
Answer: HCF of 4140, 2753 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4140, 2753 using Euclid's Algorithm?
Answer: For arbitrary numbers 4140, 2753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
