Highest Common Factor of 507, 992 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 507, 992 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 507, 992 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 507, 992 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 507, 992 is 1.
HCF(507, 992) = 1
HCF of 507, 992 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 507, 992 is 1.
Highest Common Factor of 507,992 is 1
Step 1: Since 992 > 507, we apply the division lemma to 992 and 507, to get
992 = 507 x 1 + 485
Step 2: Since the reminder 507 ≠ 0, we apply division lemma to 485 and 507, to get
507 = 485 x 1 + 22
Step 3: We consider the new divisor 485 and the new remainder 22, and apply the division lemma to get
485 = 22 x 22 + 1
We consider the new divisor 22 and the new remainder 1, and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 507 and 992 is 1
Notice that 1 = HCF(22,1) = HCF(485,22) = HCF(507,485) = HCF(992,507) .
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Frequently Asked Questions on HCF of 507, 992 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 507, 992?
Answer: HCF of 507, 992 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 507, 992 using Euclid's Algorithm?
Answer: For arbitrary numbers 507, 992 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.