Highest Common Factor of 651, 899 using Euclid's algorithm
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 651, 899 i.e. 31 the largest integer that leaves a remainder zero for all numbers.
HCF of 651, 899 is 31 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 651, 899 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 651, 899 is 31.
HCF(651, 899) = 31
HCF of 651, 899 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 651, 899 is 31.
Highest Common Factor of 651,899 is 31
Step 1: Since 899 > 651, we apply the division lemma to 899 and 651, to get
899 = 651 x 1 + 248
Step 2: Since the reminder 651 ≠ 0, we apply division lemma to 248 and 651, to get
651 = 248 x 2 + 155
Step 3: We consider the new divisor 248 and the new remainder 155, and apply the division lemma to get
248 = 155 x 1 + 93
We consider the new divisor 155 and the new remainder 93,and apply the division lemma to get
155 = 93 x 1 + 62
We consider the new divisor 93 and the new remainder 62,and apply the division lemma to get
93 = 62 x 1 + 31
We consider the new divisor 62 and the new remainder 31,and apply the division lemma to get
62 = 31 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 651 and 899 is 31
Notice that 31 = HCF(62,31) = HCF(93,62) = HCF(155,93) = HCF(248,155) = HCF(651,248) = HCF(899,651) .
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Frequently Asked Questions on HCF of 651, 899 using Euclid's Algorithm
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 651, 899?
Answer: HCF of 651, 899 is 31 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 651, 899 using Euclid's Algorithm?
Answer: For arbitrary numbers 651, 899 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.