Highest Common Factor of 527, 799 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 527, 799 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 527, 799 is 17 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 527, 799 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 527, 799 is 17.
HCF(527, 799) = 17
HCF of 527, 799 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 527, 799 is 17.
Highest Common Factor of 527,799 is 17
Step 1: Since 799 > 527, we apply the division lemma to 799 and 527, to get
799 = 527 x 1 + 272
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 272 and 527, to get
527 = 272 x 1 + 255
Step 3: We consider the new divisor 272 and the new remainder 255, and apply the division lemma to get
272 = 255 x 1 + 17
We consider the new divisor 255 and the new remainder 17, and apply the division lemma to get
255 = 17 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 527 and 799 is 17
Notice that 17 = HCF(255,17) = HCF(272,255) = HCF(527,272) = HCF(799,527) .
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Frequently Asked Questions on HCF of 527, 799 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 527, 799?
Answer: HCF of 527, 799 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 527, 799 using Euclid's Algorithm?
Answer: For arbitrary numbers 527, 799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.