Highest Common Factor of 344, 496, 942 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 344, 496, 942 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 344, 496, 942 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 344, 496, 942 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 344, 496, 942 is 2.
HCF(344, 496, 942) = 2
HCF of 344, 496, 942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 344, 496, 942 is 2.
Highest Common Factor of 344,496,942 is 2
Step 1: Since 496 > 344, we apply the division lemma to 496 and 344, to get
496 = 344 x 1 + 152
Step 2: Since the reminder 344 ≠ 0, we apply division lemma to 152 and 344, to get
344 = 152 x 2 + 40
Step 3: We consider the new divisor 152 and the new remainder 40, and apply the division lemma to get
152 = 40 x 3 + 32
We consider the new divisor 40 and the new remainder 32,and apply the division lemma to get
40 = 32 x 1 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 344 and 496 is 8
Notice that 8 = HCF(32,8) = HCF(40,32) = HCF(152,40) = HCF(344,152) = HCF(496,344) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 942 > 8, we apply the division lemma to 942 and 8, to get
942 = 8 x 117 + 6
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 6 and 8, to get
8 = 6 x 1 + 2
Step 3: We consider the new divisor 6 and the new remainder 2, and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8 and 942 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(942,8) .
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Frequently Asked Questions on HCF of 344, 496, 942 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 344, 496, 942?
Answer: HCF of 344, 496, 942 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 344, 496, 942 using Euclid's Algorithm?
Answer: For arbitrary numbers 344, 496, 942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.