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 7053, 7885 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7053, 7885 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 7053, 7885 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 7053, 7885 is 1.
HCF(7053, 7885) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7053, 7885 is 1.
Step 1: Since 7885 > 7053, we apply the division lemma to 7885 and 7053, to get
7885 = 7053 x 1 + 832
Step 2: Since the reminder 7053 ≠ 0, we apply division lemma to 832 and 7053, to get
7053 = 832 x 8 + 397
Step 3: We consider the new divisor 832 and the new remainder 397, and apply the division lemma to get
832 = 397 x 2 + 38
We consider the new divisor 397 and the new remainder 38,and apply the division lemma to get
397 = 38 x 10 + 17
We consider the new divisor 38 and the new remainder 17,and apply the division lemma to get
38 = 17 x 2 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7053 and 7885 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(38,17) = HCF(397,38) = HCF(832,397) = HCF(7053,832) = HCF(7885,7053) .
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 7053, 7885?
Answer: HCF of 7053, 7885 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7053, 7885 using Euclid's Algorithm?
Answer: For arbitrary numbers 7053, 7885 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.