Highest Common Factor of 994, 5496, 2670 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 994, 5496, 2670 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 994, 5496, 2670 is 2 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 994, 5496, 2670 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 994, 5496, 2670 is 2.
HCF(994, 5496, 2670) = 2
HCF of 994, 5496, 2670 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 994, 5496, 2670 is 2.
Highest Common Factor of 994,5496,2670 is 2
Step 1: Since 5496 > 994, we apply the division lemma to 5496 and 994, to get
5496 = 994 x 5 + 526
Step 2: Since the reminder 994 ≠ 0, we apply division lemma to 526 and 994, to get
994 = 526 x 1 + 468
Step 3: We consider the new divisor 526 and the new remainder 468, and apply the division lemma to get
526 = 468 x 1 + 58
We consider the new divisor 468 and the new remainder 58,and apply the division lemma to get
468 = 58 x 8 + 4
We consider the new divisor 58 and the new remainder 4,and apply the division lemma to get
58 = 4 x 14 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 994 and 5496 is 2
Notice that 2 = HCF(4,2) = HCF(58,4) = HCF(468,58) = HCF(526,468) = HCF(994,526) = HCF(5496,994) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2670 > 2, we apply the division lemma to 2670 and 2, to get
2670 = 2 x 1335 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 2670 is 2
Notice that 2 = HCF(2670,2) .
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Frequently Asked Questions on HCF of 994, 5496, 2670 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 994, 5496, 2670?
Answer: HCF of 994, 5496, 2670 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 994, 5496, 2670 using Euclid's Algorithm?
Answer: For arbitrary numbers 994, 5496, 2670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.