Highest Common Factor of 348, 244, 342, 94 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 348, 244, 342, 94 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 348, 244, 342, 94 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 348, 244, 342, 94 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 348, 244, 342, 94 is 2.
HCF(348, 244, 342, 94) = 2
HCF of 348, 244, 342, 94 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 348, 244, 342, 94 is 2.
Highest Common Factor of 348,244,342,94 is 2
Step 1: Since 348 > 244, we apply the division lemma to 348 and 244, to get
348 = 244 x 1 + 104
Step 2: Since the reminder 244 ≠ 0, we apply division lemma to 104 and 244, to get
244 = 104 x 2 + 36
Step 3: We consider the new divisor 104 and the new remainder 36, and apply the division lemma to get
104 = 36 x 2 + 32
We consider the new divisor 36 and the new remainder 32,and apply the division lemma to get
36 = 32 x 1 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 348 and 244 is 4
Notice that 4 = HCF(32,4) = HCF(36,32) = HCF(104,36) = HCF(244,104) = HCF(348,244) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 342 > 4, we apply the division lemma to 342 and 4, to get
342 = 4 x 85 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, 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 4 and 342 is 2
Notice that 2 = HCF(4,2) = HCF(342,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 94 > 2, we apply the division lemma to 94 and 2, to get
94 = 2 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 94 is 2
Notice that 2 = HCF(94,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 348, 244, 342, 94 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 348, 244, 342, 94?
Answer: HCF of 348, 244, 342, 94 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 348, 244, 342, 94 using Euclid's Algorithm?
Answer: For arbitrary numbers 348, 244, 342, 94 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.