Highest Common Factor of 7720, 8472, 92222 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 7720, 8472, 92222 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7720, 8472, 92222 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 7720, 8472, 92222 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 7720, 8472, 92222 is 2.
HCF(7720, 8472, 92222) = 2
HCF of 7720, 8472, 92222 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7720, 8472, 92222 is 2.
Highest Common Factor of 7720,8472,92222 is 2
Step 1: Since 8472 > 7720, we apply the division lemma to 8472 and 7720, to get
8472 = 7720 x 1 + 752
Step 2: Since the reminder 7720 ≠ 0, we apply division lemma to 752 and 7720, to get
7720 = 752 x 10 + 200
Step 3: We consider the new divisor 752 and the new remainder 200, and apply the division lemma to get
752 = 200 x 3 + 152
We consider the new divisor 200 and the new remainder 152,and apply the division lemma to get
200 = 152 x 1 + 48
We consider the new divisor 152 and the new remainder 48,and apply the division lemma to get
152 = 48 x 3 + 8
We consider the new divisor 48 and the new remainder 8,and apply the division lemma to get
48 = 8 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 7720 and 8472 is 8
Notice that 8 = HCF(48,8) = HCF(152,48) = HCF(200,152) = HCF(752,200) = HCF(7720,752) = HCF(8472,7720) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92222 > 8, we apply the division lemma to 92222 and 8, to get
92222 = 8 x 11527 + 6
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 6 and 8, to get
8 = 6 x 1 + 2
Step 3: We consider the new divisor 6 and the new remainder 2, and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8 and 92222 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(92222,8) .
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Frequently Asked Questions on HCF of 7720, 8472, 92222 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 7720, 8472, 92222?
Answer: HCF of 7720, 8472, 92222 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7720, 8472, 92222 using Euclid's Algorithm?
Answer: For arbitrary numbers 7720, 8472, 92222 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.