Highest Common Factor of 922, 7030, 2176 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 922, 7030, 2176 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 922, 7030, 2176 is 2 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 922, 7030, 2176 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 922, 7030, 2176 is 2.
HCF(922, 7030, 2176) = 2
HCF of 922, 7030, 2176 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 922, 7030, 2176 is 2.
Highest Common Factor of 922,7030,2176 is 2
Step 1: Since 7030 > 922, we apply the division lemma to 7030 and 922, to get
7030 = 922 x 7 + 576
Step 2: Since the reminder 922 ≠ 0, we apply division lemma to 576 and 922, to get
922 = 576 x 1 + 346
Step 3: We consider the new divisor 576 and the new remainder 346, and apply the division lemma to get
576 = 346 x 1 + 230
We consider the new divisor 346 and the new remainder 230,and apply the division lemma to get
346 = 230 x 1 + 116
We consider the new divisor 230 and the new remainder 116,and apply the division lemma to get
230 = 116 x 1 + 114
We consider the new divisor 116 and the new remainder 114,and apply the division lemma to get
116 = 114 x 1 + 2
We consider the new divisor 114 and the new remainder 2,and apply the division lemma to get
114 = 2 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 922 and 7030 is 2
Notice that 2 = HCF(114,2) = HCF(116,114) = HCF(230,116) = HCF(346,230) = HCF(576,346) = HCF(922,576) = HCF(7030,922) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2176 > 2, we apply the division lemma to 2176 and 2, to get
2176 = 2 x 1088 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 2176 is 2
Notice that 2 = HCF(2176,2) .
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Frequently Asked Questions on HCF of 922, 7030, 2176 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 922, 7030, 2176?
Answer: HCF of 922, 7030, 2176 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 922, 7030, 2176 using Euclid's Algorithm?
Answer: For arbitrary numbers 922, 7030, 2176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.