Highest Common Factor of 249, 747 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 249, 747 i.e. 249 the largest integer that leaves a remainder zero for all numbers.
HCF of 249, 747 is 249 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 249, 747 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 249, 747 is 249.
HCF(249, 747) = 249
HCF of 249, 747 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 249, 747 is 249.
Highest Common Factor of 249,747 is 249
Step 1: Since 747 > 249, we apply the division lemma to 747 and 249, to get
747 = 249 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 249, the HCF of 249 and 747 is 249
Notice that 249 = HCF(747,249) .
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Frequently Asked Questions on HCF of 249, 747 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 249, 747?
Answer: HCF of 249, 747 is 249 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 249, 747 using Euclid's Algorithm?
Answer: For arbitrary numbers 249, 747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
