Highest Common Factor of 942, 544, 56 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 942, 544, 56 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 942, 544, 56 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 942, 544, 56 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 942, 544, 56 is 2.
HCF(942, 544, 56) = 2
HCF of 942, 544, 56 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 942, 544, 56 is 2.
Highest Common Factor of 942,544,56 is 2
Step 1: Since 942 > 544, we apply the division lemma to 942 and 544, to get
942 = 544 x 1 + 398
Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 398 and 544, to get
544 = 398 x 1 + 146
Step 3: We consider the new divisor 398 and the new remainder 146, and apply the division lemma to get
398 = 146 x 2 + 106
We consider the new divisor 146 and the new remainder 106,and apply the division lemma to get
146 = 106 x 1 + 40
We consider the new divisor 106 and the new remainder 40,and apply the division lemma to get
106 = 40 x 2 + 26
We consider the new divisor 40 and the new remainder 26,and apply the division lemma to get
40 = 26 x 1 + 14
We consider the new divisor 26 and the new remainder 14,and apply the division lemma to get
26 = 14 x 1 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 942 and 544 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(26,14) = HCF(40,26) = HCF(106,40) = HCF(146,106) = HCF(398,146) = HCF(544,398) = HCF(942,544) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56 > 2, we apply the division lemma to 56 and 2, to get
56 = 2 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 56 is 2
Notice that 2 = HCF(56,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 942, 544, 56 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 942, 544, 56?
Answer: HCF of 942, 544, 56 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 942, 544, 56 using Euclid's Algorithm?
Answer: For arbitrary numbers 942, 544, 56 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.