Highest Common Factor of 921, 80010 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 921, 80010 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 921, 80010 is 3 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 921, 80010 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 921, 80010 is 3.
HCF(921, 80010) = 3
HCF of 921, 80010 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 921, 80010 is 3.
Highest Common Factor of 921,80010 is 3
Step 1: Since 80010 > 921, we apply the division lemma to 80010 and 921, to get
80010 = 921 x 86 + 804
Step 2: Since the reminder 921 ≠ 0, we apply division lemma to 804 and 921, to get
921 = 804 x 1 + 117
Step 3: We consider the new divisor 804 and the new remainder 117, and apply the division lemma to get
804 = 117 x 6 + 102
We consider the new divisor 117 and the new remainder 102,and apply the division lemma to get
117 = 102 x 1 + 15
We consider the new divisor 102 and the new remainder 15,and apply the division lemma to get
102 = 15 x 6 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 921 and 80010 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(102,15) = HCF(117,102) = HCF(804,117) = HCF(921,804) = HCF(80010,921) .
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Frequently Asked Questions on HCF of 921, 80010 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 921, 80010?
Answer: HCF of 921, 80010 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 921, 80010 using Euclid's Algorithm?
Answer: For arbitrary numbers 921, 80010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.