Highest Common Factor of 992, 279, 759 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, 279, 759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 279, 759 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 992, 279, 759 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, 279, 759 is 1.
HCF(992, 279, 759) = 1
HCF of 992, 279, 759 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, 279, 759 is 1.
Highest Common Factor of 992,279,759 is 1
Step 1: Since 992 > 279, we apply the division lemma to 992 and 279, to get
992 = 279 x 3 + 155
Step 2: Since the reminder 279 ≠ 0, we apply division lemma to 155 and 279, to get
279 = 155 x 1 + 124
Step 3: We consider the new divisor 155 and the new remainder 124, and apply the division lemma to get
155 = 124 x 1 + 31
We consider the new divisor 124 and the new remainder 31, and apply the division lemma to get
124 = 31 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 992 and 279 is 31
Notice that 31 = HCF(124,31) = HCF(155,124) = HCF(279,155) = HCF(992,279) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 759 > 31, we apply the division lemma to 759 and 31, to get
759 = 31 x 24 + 15
Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 15 and 31, to get
31 = 15 x 2 + 1
Step 3: We consider the new divisor 15 and the new remainder 1, and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 31 and 759 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(759,31) .
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Frequently Asked Questions on HCF of 992, 279, 759 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, 279, 759?
Answer: HCF of 992, 279, 759 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 279, 759 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 279, 759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
