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 602, 348, 844, 540 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 602, 348, 844, 540 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 602, 348, 844, 540 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 602, 348, 844, 540 is 2.
HCF(602, 348, 844, 540) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 602, 348, 844, 540 is 2.
Step 1: Since 602 > 348, we apply the division lemma to 602 and 348, to get
602 = 348 x 1 + 254
Step 2: Since the reminder 348 ≠ 0, we apply division lemma to 254 and 348, to get
348 = 254 x 1 + 94
Step 3: We consider the new divisor 254 and the new remainder 94, and apply the division lemma to get
254 = 94 x 2 + 66
We consider the new divisor 94 and the new remainder 66,and apply the division lemma to get
94 = 66 x 1 + 28
We consider the new divisor 66 and the new remainder 28,and apply the division lemma to get
66 = 28 x 2 + 10
We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get
28 = 10 x 2 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 602 and 348 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(66,28) = HCF(94,66) = HCF(254,94) = HCF(348,254) = HCF(602,348) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 844 > 2, we apply the division lemma to 844 and 2, to get
844 = 2 x 422 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 844 is 2
Notice that 2 = HCF(844,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 540 > 2, we apply the division lemma to 540 and 2, to get
540 = 2 x 270 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 540 is 2
Notice that 2 = HCF(540,2) .
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 602, 348, 844, 540?
Answer: HCF of 602, 348, 844, 540 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 602, 348, 844, 540 using Euclid's Algorithm?
Answer: For arbitrary numbers 602, 348, 844, 540 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.