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, 260, 839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 374, 260, 839 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, 260, 839 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, 260, 839 is 1.
HCF(374, 260, 839) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 374, 260, 839 is 1.
Step 1: Since 374 > 260, we apply the division lemma to 374 and 260, to get
374 = 260 x 1 + 114
Step 2: Since the reminder 260 ≠ 0, we apply division lemma to 114 and 260, to get
260 = 114 x 2 + 32
Step 3: We consider the new divisor 114 and the new remainder 32, and apply the division lemma to get
114 = 32 x 3 + 18
We consider the new divisor 32 and the new remainder 18,and apply the division lemma to get
32 = 18 x 1 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 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 374 and 260 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(32,18) = HCF(114,32) = HCF(260,114) = HCF(374,260) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 839 > 2, we apply the division lemma to 839 and 2, to get
839 = 2 x 419 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 839 is 1
Notice that 1 = HCF(2,1) = HCF(839,2) .
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, 260, 839?
Answer: HCF of 374, 260, 839 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 374, 260, 839 using Euclid's Algorithm?
Answer: For arbitrary numbers 374, 260, 839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.