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 553, 793 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 553, 793 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 553, 793 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 553, 793 is 1.
HCF(553, 793) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 553, 793 is 1.
Step 1: Since 793 > 553, we apply the division lemma to 793 and 553, to get
793 = 553 x 1 + 240
Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 240 and 553, to get
553 = 240 x 2 + 73
Step 3: We consider the new divisor 240 and the new remainder 73, and apply the division lemma to get
240 = 73 x 3 + 21
We consider the new divisor 73 and the new remainder 21,and apply the division lemma to get
73 = 21 x 3 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 553 and 793 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(73,21) = HCF(240,73) = HCF(553,240) = HCF(793,553) .
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 553, 793?
Answer: HCF of 553, 793 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 553, 793 using Euclid's Algorithm?
Answer: For arbitrary numbers 553, 793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.