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 601, 1035 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 601, 1035 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 601, 1035 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 601, 1035 is 1.
HCF(601, 1035) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 601, 1035 is 1.
Step 1: Since 1035 > 601, we apply the division lemma to 1035 and 601, to get
1035 = 601 x 1 + 434
Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 434 and 601, to get
601 = 434 x 1 + 167
Step 3: We consider the new divisor 434 and the new remainder 167, and apply the division lemma to get
434 = 167 x 2 + 100
We consider the new divisor 167 and the new remainder 100,and apply the division lemma to get
167 = 100 x 1 + 67
We consider the new divisor 100 and the new remainder 67,and apply the division lemma to get
100 = 67 x 1 + 33
We consider the new divisor 67 and the new remainder 33,and apply the division lemma to get
67 = 33 x 2 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 601 and 1035 is 1
Notice that 1 = HCF(33,1) = HCF(67,33) = HCF(100,67) = HCF(167,100) = HCF(434,167) = HCF(601,434) = HCF(1035,601) .
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 601, 1035?
Answer: HCF of 601, 1035 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 601, 1035 using Euclid's Algorithm?
Answer: For arbitrary numbers 601, 1035 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.