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 1513, 6595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1513, 6595 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 1513, 6595 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 1513, 6595 is 1.
HCF(1513, 6595) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1513, 6595 is 1.
Step 1: Since 6595 > 1513, we apply the division lemma to 6595 and 1513, to get
6595 = 1513 x 4 + 543
Step 2: Since the reminder 1513 ≠ 0, we apply division lemma to 543 and 1513, to get
1513 = 543 x 2 + 427
Step 3: We consider the new divisor 543 and the new remainder 427, and apply the division lemma to get
543 = 427 x 1 + 116
We consider the new divisor 427 and the new remainder 116,and apply the division lemma to get
427 = 116 x 3 + 79
We consider the new divisor 116 and the new remainder 79,and apply the division lemma to get
116 = 79 x 1 + 37
We consider the new divisor 79 and the new remainder 37,and apply the division lemma to get
79 = 37 x 2 + 5
We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get
37 = 5 x 7 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 1513 and 6595 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(79,37) = HCF(116,79) = HCF(427,116) = HCF(543,427) = HCF(1513,543) = HCF(6595,1513) .
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 1513, 6595?
Answer: HCF of 1513, 6595 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1513, 6595 using Euclid's Algorithm?
Answer: For arbitrary numbers 1513, 6595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.