Highest Common Factor of 946, 345, 825, 120 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 946, 345, 825, 120 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 946, 345, 825, 120 is 1 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 946, 345, 825, 120 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 946, 345, 825, 120 is 1.
HCF(946, 345, 825, 120) = 1
HCF of 946, 345, 825, 120 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 946, 345, 825, 120 is 1.
Highest Common Factor of 946,345,825,120 is 1
Step 1: Since 946 > 345, we apply the division lemma to 946 and 345, to get
946 = 345 x 2 + 256
Step 2: Since the reminder 345 ≠ 0, we apply division lemma to 256 and 345, to get
345 = 256 x 1 + 89
Step 3: We consider the new divisor 256 and the new remainder 89, and apply the division lemma to get
256 = 89 x 2 + 78
We consider the new divisor 89 and the new remainder 78,and apply the division lemma to get
89 = 78 x 1 + 11
We consider the new divisor 78 and the new remainder 11,and apply the division lemma to get
78 = 11 x 7 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 946 and 345 is 1
Notice that 1 = HCF(11,1) = HCF(78,11) = HCF(89,78) = HCF(256,89) = HCF(345,256) = HCF(946,345) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 825 > 1, we apply the division lemma to 825 and 1, to get
825 = 1 x 825 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 825 is 1
Notice that 1 = HCF(825,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 120 > 1, we apply the division lemma to 120 and 1, to get
120 = 1 x 120 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 120 is 1
Notice that 1 = HCF(120,1) .
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Frequently Asked Questions on HCF of 946, 345, 825, 120 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 946, 345, 825, 120?
Answer: HCF of 946, 345, 825, 120 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 946, 345, 825, 120 using Euclid's Algorithm?
Answer: For arbitrary numbers 946, 345, 825, 120 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.