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 918, 503 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 918, 503 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 918, 503 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 918, 503 is 1.
HCF(918, 503) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 918, 503 is 1.
Step 1: Since 918 > 503, we apply the division lemma to 918 and 503, to get
918 = 503 x 1 + 415
Step 2: Since the reminder 503 ≠ 0, we apply division lemma to 415 and 503, to get
503 = 415 x 1 + 88
Step 3: We consider the new divisor 415 and the new remainder 88, and apply the division lemma to get
415 = 88 x 4 + 63
We consider the new divisor 88 and the new remainder 63,and apply the division lemma to get
88 = 63 x 1 + 25
We consider the new divisor 63 and the new remainder 25,and apply the division lemma to get
63 = 25 x 2 + 13
We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get
25 = 13 x 1 + 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 918 and 503 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(63,25) = HCF(88,63) = HCF(415,88) = HCF(503,415) = HCF(918,503) .
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 918, 503?
Answer: HCF of 918, 503 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 918, 503 using Euclid's Algorithm?
Answer: For arbitrary numbers 918, 503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.