Highest Common Factor of 348, 98 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, 98 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 348, 98 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, 98 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, 98 is 2.
HCF(348, 98) = 2
HCF of 348, 98 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, 98 is 2.
Highest Common Factor of 348,98 is 2
Step 1: Since 348 > 98, we apply the division lemma to 348 and 98, to get
348 = 98 x 3 + 54
Step 2: Since the reminder 98 ≠ 0, we apply division lemma to 54 and 98, to get
98 = 54 x 1 + 44
Step 3: We consider the new divisor 54 and the new remainder 44, and apply the division lemma to get
54 = 44 x 1 + 10
We consider the new divisor 44 and the new remainder 10,and apply the division lemma to get
44 = 10 x 4 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 348 and 98 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(44,10) = HCF(54,44) = HCF(98,54) = HCF(348,98) .
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Frequently Asked Questions on HCF of 348, 98 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, 98?
Answer: HCF of 348, 98 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 348, 98 using Euclid's Algorithm?
Answer: For arbitrary numbers 348, 98 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.