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 557, 857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 557, 857 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 557, 857 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 557, 857 is 1.
HCF(557, 857) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 557, 857 is 1.
Step 1: Since 857 > 557, we apply the division lemma to 857 and 557, to get
857 = 557 x 1 + 300
Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 300 and 557, to get
557 = 300 x 1 + 257
Step 3: We consider the new divisor 300 and the new remainder 257, and apply the division lemma to get
300 = 257 x 1 + 43
We consider the new divisor 257 and the new remainder 43,and apply the division lemma to get
257 = 43 x 5 + 42
We consider the new divisor 43 and the new remainder 42,and apply the division lemma to get
43 = 42 x 1 + 1
We consider the new divisor 42 and the new remainder 1,and apply the division lemma to get
42 = 1 x 42 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 557 and 857 is 1
Notice that 1 = HCF(42,1) = HCF(43,42) = HCF(257,43) = HCF(300,257) = HCF(557,300) = HCF(857,557) .
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 557, 857?
Answer: HCF of 557, 857 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 557, 857 using Euclid's Algorithm?
Answer: For arbitrary numbers 557, 857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.