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, 968 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 602, 968 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, 968 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, 968 is 2.
HCF(602, 968) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 602, 968 is 2.
Step 1: Since 968 > 602, we apply the division lemma to 968 and 602, to get
968 = 602 x 1 + 366
Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 366 and 602, to get
602 = 366 x 1 + 236
Step 3: We consider the new divisor 366 and the new remainder 236, and apply the division lemma to get
366 = 236 x 1 + 130
We consider the new divisor 236 and the new remainder 130,and apply the division lemma to get
236 = 130 x 1 + 106
We consider the new divisor 130 and the new remainder 106,and apply the division lemma to get
130 = 106 x 1 + 24
We consider the new divisor 106 and the new remainder 24,and apply the division lemma to get
106 = 24 x 4 + 10
We consider the new divisor 24 and the new remainder 10,and apply the division lemma to get
24 = 10 x 2 + 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 602 and 968 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(24,10) = HCF(106,24) = HCF(130,106) = HCF(236,130) = HCF(366,236) = HCF(602,366) = HCF(968,602) .
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, 968?
Answer: HCF of 602, 968 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 602, 968 using Euclid's Algorithm?
Answer: For arbitrary numbers 602, 968 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.