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 6735, 1025 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6735, 1025 is 5 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 6735, 1025 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 6735, 1025 is 5.
HCF(6735, 1025) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6735, 1025 is 5.
Step 1: Since 6735 > 1025, we apply the division lemma to 6735 and 1025, to get
6735 = 1025 x 6 + 585
Step 2: Since the reminder 1025 ≠ 0, we apply division lemma to 585 and 1025, to get
1025 = 585 x 1 + 440
Step 3: We consider the new divisor 585 and the new remainder 440, and apply the division lemma to get
585 = 440 x 1 + 145
We consider the new divisor 440 and the new remainder 145,and apply the division lemma to get
440 = 145 x 3 + 5
We consider the new divisor 145 and the new remainder 5,and apply the division lemma to get
145 = 5 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 6735 and 1025 is 5
Notice that 5 = HCF(145,5) = HCF(440,145) = HCF(585,440) = HCF(1025,585) = HCF(6735,1025) .
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 6735, 1025?
Answer: HCF of 6735, 1025 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6735, 1025 using Euclid's Algorithm?
Answer: For arbitrary numbers 6735, 1025 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.