Highest Common Factor of 992, 652, 880 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, 652, 880 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 652, 880 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, 652, 880 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, 652, 880 is 4.
HCF(992, 652, 880) = 4
HCF of 992, 652, 880 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, 652, 880 is 4.
Highest Common Factor of 992,652,880 is 4
Step 1: Since 992 > 652, we apply the division lemma to 992 and 652, to get
992 = 652 x 1 + 340
Step 2: Since the reminder 652 ≠ 0, we apply division lemma to 340 and 652, to get
652 = 340 x 1 + 312
Step 3: We consider the new divisor 340 and the new remainder 312, and apply the division lemma to get
340 = 312 x 1 + 28
We consider the new divisor 312 and the new remainder 28,and apply the division lemma to get
312 = 28 x 11 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 992 and 652 is 4
Notice that 4 = HCF(28,4) = HCF(312,28) = HCF(340,312) = HCF(652,340) = HCF(992,652) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 880 > 4, we apply the division lemma to 880 and 4, to get
880 = 4 x 220 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 880 is 4
Notice that 4 = HCF(880,4) .
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Frequently Asked Questions on HCF of 992, 652, 880 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, 652, 880?
Answer: HCF of 992, 652, 880 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 652, 880 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 652, 880 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.