Highest Common Factor of 553, 7347 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 553, 7347 i.e. 79 the largest integer that leaves a remainder zero for all numbers.
HCF of 553, 7347 is 79 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, 7347 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, 7347 is 79.
HCF(553, 7347) = 79
HCF of 553, 7347 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 553, 7347 is 79.
Highest Common Factor of 553,7347 is 79
Step 1: Since 7347 > 553, we apply the division lemma to 7347 and 553, to get
7347 = 553 x 13 + 158
Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 158 and 553, to get
553 = 158 x 3 + 79
Step 3: We consider the new divisor 158 and the new remainder 79, and apply the division lemma to get
158 = 79 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 79, the HCF of 553 and 7347 is 79
Notice that 79 = HCF(158,79) = HCF(553,158) = HCF(7347,553) .
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Frequently Asked Questions on HCF of 553, 7347 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 553, 7347?
Answer: HCF of 553, 7347 is 79 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 553, 7347 using Euclid's Algorithm?
Answer: For arbitrary numbers 553, 7347 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.