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 374, 84345 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 374, 84345 is 1 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 374, 84345 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 374, 84345 is 1.
HCF(374, 84345) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 374, 84345 is 1.
Step 1: Since 84345 > 374, we apply the division lemma to 84345 and 374, to get
84345 = 374 x 225 + 195
Step 2: Since the reminder 374 ≠ 0, we apply division lemma to 195 and 374, to get
374 = 195 x 1 + 179
Step 3: We consider the new divisor 195 and the new remainder 179, and apply the division lemma to get
195 = 179 x 1 + 16
We consider the new divisor 179 and the new remainder 16,and apply the division lemma to get
179 = 16 x 11 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 374 and 84345 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(179,16) = HCF(195,179) = HCF(374,195) = HCF(84345,374) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 374, 84345?
Answer: HCF of 374, 84345 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 374, 84345 using Euclid's Algorithm?
Answer: For arbitrary numbers 374, 84345 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.