Highest Common Factor of 5977, 7878 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 5977, 7878 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5977, 7878 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 5977, 7878 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 5977, 7878 is 1.
HCF(5977, 7878) = 1
HCF of 5977, 7878 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5977, 7878 is 1.
Highest Common Factor of 5977,7878 is 1
Step 1: Since 7878 > 5977, we apply the division lemma to 7878 and 5977, to get
7878 = 5977 x 1 + 1901
Step 2: Since the reminder 5977 ≠ 0, we apply division lemma to 1901 and 5977, to get
5977 = 1901 x 3 + 274
Step 3: We consider the new divisor 1901 and the new remainder 274, and apply the division lemma to get
1901 = 274 x 6 + 257
We consider the new divisor 274 and the new remainder 257,and apply the division lemma to get
274 = 257 x 1 + 17
We consider the new divisor 257 and the new remainder 17,and apply the division lemma to get
257 = 17 x 15 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5977 and 7878 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(257,17) = HCF(274,257) = HCF(1901,274) = HCF(5977,1901) = HCF(7878,5977) .
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Frequently Asked Questions on HCF of 5977, 7878 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 5977, 7878?
Answer: HCF of 5977, 7878 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5977, 7878 using Euclid's Algorithm?
Answer: For arbitrary numbers 5977, 7878 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
