Highest Common Factor of 992, 372 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 992, 372 i.e. 124 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 372 is 124 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 992, 372 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 992, 372 is 124.
HCF(992, 372) = 124
HCF of 992, 372 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 992, 372 is 124.
Highest Common Factor of 992,372 is 124
Step 1: Since 992 > 372, we apply the division lemma to 992 and 372, to get
992 = 372 x 2 + 248
Step 2: Since the reminder 372 ≠ 0, we apply division lemma to 248 and 372, to get
372 = 248 x 1 + 124
Step 3: We consider the new divisor 248 and the new remainder 124, and apply the division lemma to get
248 = 124 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 124, the HCF of 992 and 372 is 124
Notice that 124 = HCF(248,124) = HCF(372,248) = HCF(992,372) .
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Frequently Asked Questions on HCF of 992, 372 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 992, 372?
Answer: HCF of 992, 372 is 124 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 372 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 372 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.