Highest Common Factor of 792, 492, 975, 379 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 792, 492, 975, 379 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 792, 492, 975, 379 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 792, 492, 975, 379 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 792, 492, 975, 379 is 1.
HCF(792, 492, 975, 379) = 1
HCF of 792, 492, 975, 379 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 792, 492, 975, 379 is 1.
Highest Common Factor of 792,492,975,379 is 1
Step 1: Since 792 > 492, we apply the division lemma to 792 and 492, to get
792 = 492 x 1 + 300
Step 2: Since the reminder 492 ≠ 0, we apply division lemma to 300 and 492, to get
492 = 300 x 1 + 192
Step 3: We consider the new divisor 300 and the new remainder 192, and apply the division lemma to get
300 = 192 x 1 + 108
We consider the new divisor 192 and the new remainder 108,and apply the division lemma to get
192 = 108 x 1 + 84
We consider the new divisor 108 and the new remainder 84,and apply the division lemma to get
108 = 84 x 1 + 24
We consider the new divisor 84 and the new remainder 24,and apply the division lemma to get
84 = 24 x 3 + 12
We consider the new divisor 24 and the new remainder 12,and apply the division lemma to get
24 = 12 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 792 and 492 is 12
Notice that 12 = HCF(24,12) = HCF(84,24) = HCF(108,84) = HCF(192,108) = HCF(300,192) = HCF(492,300) = HCF(792,492) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 975 > 12, we apply the division lemma to 975 and 12, to get
975 = 12 x 81 + 3
Step 2: Since the reminder 12 ≠ 0, we apply division lemma to 3 and 12, to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 12 and 975 is 3
Notice that 3 = HCF(12,3) = HCF(975,12) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 379 > 3, we apply the division lemma to 379 and 3, to get
379 = 3 x 126 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 379 is 1
Notice that 1 = HCF(3,1) = HCF(379,3) .
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Frequently Asked Questions on HCF of 792, 492, 975, 379 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 792, 492, 975, 379?
Answer: HCF of 792, 492, 975, 379 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 792, 492, 975, 379 using Euclid's Algorithm?
Answer: For arbitrary numbers 792, 492, 975, 379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.