Highest Common Factor of 1059, 4940 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 1059, 4940 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1059, 4940 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 1059, 4940 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 1059, 4940 is 1.
HCF(1059, 4940) = 1
HCF of 1059, 4940 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1059, 4940 is 1.
Highest Common Factor of 1059,4940 is 1
Step 1: Since 4940 > 1059, we apply the division lemma to 4940 and 1059, to get
4940 = 1059 x 4 + 704
Step 2: Since the reminder 1059 ≠ 0, we apply division lemma to 704 and 1059, to get
1059 = 704 x 1 + 355
Step 3: We consider the new divisor 704 and the new remainder 355, and apply the division lemma to get
704 = 355 x 1 + 349
We consider the new divisor 355 and the new remainder 349,and apply the division lemma to get
355 = 349 x 1 + 6
We consider the new divisor 349 and the new remainder 6,and apply the division lemma to get
349 = 6 x 58 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1059 and 4940 is 1
Notice that 1 = HCF(6,1) = HCF(349,6) = HCF(355,349) = HCF(704,355) = HCF(1059,704) = HCF(4940,1059) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1059, 4940 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 1059, 4940?
Answer: HCF of 1059, 4940 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1059, 4940 using Euclid's Algorithm?
Answer: For arbitrary numbers 1059, 4940 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.