Highest Common Factor of 922, 336, 878, 716 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, 336, 878, 716 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 922, 336, 878, 716 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, 336, 878, 716 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, 336, 878, 716 is 2.
HCF(922, 336, 878, 716) = 2
HCF of 922, 336, 878, 716 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, 336, 878, 716 is 2.
Highest Common Factor of 922,336,878,716 is 2
Step 1: Since 922 > 336, we apply the division lemma to 922 and 336, to get
922 = 336 x 2 + 250
Step 2: Since the reminder 336 ≠ 0, we apply division lemma to 250 and 336, to get
336 = 250 x 1 + 86
Step 3: We consider the new divisor 250 and the new remainder 86, and apply the division lemma to get
250 = 86 x 2 + 78
We consider the new divisor 86 and the new remainder 78,and apply the division lemma to get
86 = 78 x 1 + 8
We consider the new divisor 78 and the new remainder 8,and apply the division lemma to get
78 = 8 x 9 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
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 922 and 336 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(78,8) = HCF(86,78) = HCF(250,86) = HCF(336,250) = HCF(922,336) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 878 > 2, we apply the division lemma to 878 and 2, to get
878 = 2 x 439 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 878 is 2
Notice that 2 = HCF(878,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 716 > 2, we apply the division lemma to 716 and 2, to get
716 = 2 x 358 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 716 is 2
Notice that 2 = HCF(716,2) .
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Frequently Asked Questions on HCF of 922, 336, 878, 716 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, 336, 878, 716?
Answer: HCF of 922, 336, 878, 716 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 922, 336, 878, 716 using Euclid's Algorithm?
Answer: For arbitrary numbers 922, 336, 878, 716 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.