Highest Common Factor of 651, 888, 99, 876 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, 888, 99, 876 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 651, 888, 99, 876 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 651, 888, 99, 876 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, 888, 99, 876 is 3.
HCF(651, 888, 99, 876) = 3
HCF of 651, 888, 99, 876 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, 888, 99, 876 is 3.
Highest Common Factor of 651,888,99,876 is 3
Step 1: Since 888 > 651, we apply the division lemma to 888 and 651, to get
888 = 651 x 1 + 237
Step 2: Since the reminder 651 ≠ 0, we apply division lemma to 237 and 651, to get
651 = 237 x 2 + 177
Step 3: We consider the new divisor 237 and the new remainder 177, and apply the division lemma to get
237 = 177 x 1 + 60
We consider the new divisor 177 and the new remainder 60,and apply the division lemma to get
177 = 60 x 2 + 57
We consider the new divisor 60 and the new remainder 57,and apply the division lemma to get
60 = 57 x 1 + 3
We consider the new divisor 57 and the new remainder 3,and apply the division lemma to get
57 = 3 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 651 and 888 is 3
Notice that 3 = HCF(57,3) = HCF(60,57) = HCF(177,60) = HCF(237,177) = HCF(651,237) = HCF(888,651) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 99 > 3, we apply the division lemma to 99 and 3, to get
99 = 3 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 99 is 3
Notice that 3 = HCF(99,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 876 > 3, we apply the division lemma to 876 and 3, to get
876 = 3 x 292 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 876 is 3
Notice that 3 = HCF(876,3) .
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Frequently Asked Questions on HCF of 651, 888, 99, 876 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, 888, 99, 876?
Answer: HCF of 651, 888, 99, 876 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 651, 888, 99, 876 using Euclid's Algorithm?
Answer: For arbitrary numbers 651, 888, 99, 876 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
