Highest Common Factor of 992, 356 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, 356 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 356 is 4 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, 356 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, 356 is 4.
HCF(992, 356) = 4
HCF of 992, 356 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, 356 is 4.
Highest Common Factor of 992,356 is 4
Step 1: Since 992 > 356, we apply the division lemma to 992 and 356, to get
992 = 356 x 2 + 280
Step 2: Since the reminder 356 ≠ 0, we apply division lemma to 280 and 356, to get
356 = 280 x 1 + 76
Step 3: We consider the new divisor 280 and the new remainder 76, and apply the division lemma to get
280 = 76 x 3 + 52
We consider the new divisor 76 and the new remainder 52,and apply the division lemma to get
76 = 52 x 1 + 24
We consider the new divisor 52 and the new remainder 24,and apply the division lemma to get
52 = 24 x 2 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 992 and 356 is 4
Notice that 4 = HCF(24,4) = HCF(52,24) = HCF(76,52) = HCF(280,76) = HCF(356,280) = HCF(992,356) .
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Frequently Asked Questions on HCF of 992, 356 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, 356?
Answer: HCF of 992, 356 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 356 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 356 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.