Highest Common Factor of 987, 8266 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 987, 8266 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 987, 8266 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 987, 8266 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 987, 8266 is 1.
HCF(987, 8266) = 1
HCF of 987, 8266 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 987, 8266 is 1.
Highest Common Factor of 987,8266 is 1
Step 1: Since 8266 > 987, we apply the division lemma to 8266 and 987, to get
8266 = 987 x 8 + 370
Step 2: Since the reminder 987 ≠ 0, we apply division lemma to 370 and 987, to get
987 = 370 x 2 + 247
Step 3: We consider the new divisor 370 and the new remainder 247, and apply the division lemma to get
370 = 247 x 1 + 123
We consider the new divisor 247 and the new remainder 123,and apply the division lemma to get
247 = 123 x 2 + 1
We consider the new divisor 123 and the new remainder 1,and apply the division lemma to get
123 = 1 x 123 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 987 and 8266 is 1
Notice that 1 = HCF(123,1) = HCF(247,123) = HCF(370,247) = HCF(987,370) = HCF(8266,987) .
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Frequently Asked Questions on HCF of 987, 8266 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 987, 8266?
Answer: HCF of 987, 8266 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 987, 8266 using Euclid's Algorithm?
Answer: For arbitrary numbers 987, 8266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
