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 1519, 5265 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1519, 5265 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 1519, 5265 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 1519, 5265 is 1.
HCF(1519, 5265) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1519, 5265 is 1.
Step 1: Since 5265 > 1519, we apply the division lemma to 5265 and 1519, to get
5265 = 1519 x 3 + 708
Step 2: Since the reminder 1519 ≠ 0, we apply division lemma to 708 and 1519, to get
1519 = 708 x 2 + 103
Step 3: We consider the new divisor 708 and the new remainder 103, and apply the division lemma to get
708 = 103 x 6 + 90
We consider the new divisor 103 and the new remainder 90,and apply the division lemma to get
103 = 90 x 1 + 13
We consider the new divisor 90 and the new remainder 13,and apply the division lemma to get
90 = 13 x 6 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1519 and 5265 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(90,13) = HCF(103,90) = HCF(708,103) = HCF(1519,708) = HCF(5265,1519) .
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 1519, 5265?
Answer: HCF of 1519, 5265 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1519, 5265 using Euclid's Algorithm?
Answer: For arbitrary numbers 1519, 5265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.