Highest Common Factor of 830, 542, 946, 80 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 830, 542, 946, 80 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 830, 542, 946, 80 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 830, 542, 946, 80 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 830, 542, 946, 80 is 2.
HCF(830, 542, 946, 80) = 2
HCF of 830, 542, 946, 80 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 830, 542, 946, 80 is 2.
Highest Common Factor of 830,542,946,80 is 2
Step 1: Since 830 > 542, we apply the division lemma to 830 and 542, to get
830 = 542 x 1 + 288
Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 288 and 542, to get
542 = 288 x 1 + 254
Step 3: We consider the new divisor 288 and the new remainder 254, and apply the division lemma to get
288 = 254 x 1 + 34
We consider the new divisor 254 and the new remainder 34,and apply the division lemma to get
254 = 34 x 7 + 16
We consider the new divisor 34 and the new remainder 16,and apply the division lemma to get
34 = 16 x 2 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 830 and 542 is 2
Notice that 2 = HCF(16,2) = HCF(34,16) = HCF(254,34) = HCF(288,254) = HCF(542,288) = HCF(830,542) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 946 > 2, we apply the division lemma to 946 and 2, to get
946 = 2 x 473 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 946 is 2
Notice that 2 = HCF(946,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80 > 2, we apply the division lemma to 80 and 2, to get
80 = 2 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 80 is 2
Notice that 2 = HCF(80,2) .
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Frequently Asked Questions on HCF of 830, 542, 946, 80 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 830, 542, 946, 80?
Answer: HCF of 830, 542, 946, 80 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 830, 542, 946, 80 using Euclid's Algorithm?
Answer: For arbitrary numbers 830, 542, 946, 80 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.