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 2610, 7639, 77937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2610, 7639, 77937 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 2610, 7639, 77937 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 2610, 7639, 77937 is 1.
HCF(2610, 7639, 77937) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2610, 7639, 77937 is 1.
Step 1: Since 7639 > 2610, we apply the division lemma to 7639 and 2610, to get
7639 = 2610 x 2 + 2419
Step 2: Since the reminder 2610 ≠ 0, we apply division lemma to 2419 and 2610, to get
2610 = 2419 x 1 + 191
Step 3: We consider the new divisor 2419 and the new remainder 191, and apply the division lemma to get
2419 = 191 x 12 + 127
We consider the new divisor 191 and the new remainder 127,and apply the division lemma to get
191 = 127 x 1 + 64
We consider the new divisor 127 and the new remainder 64,and apply the division lemma to get
127 = 64 x 1 + 63
We consider the new divisor 64 and the new remainder 63,and apply the division lemma to get
64 = 63 x 1 + 1
We consider the new divisor 63 and the new remainder 1,and apply the division lemma to get
63 = 1 x 63 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2610 and 7639 is 1
Notice that 1 = HCF(63,1) = HCF(64,63) = HCF(127,64) = HCF(191,127) = HCF(2419,191) = HCF(2610,2419) = HCF(7639,2610) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 77937 > 1, we apply the division lemma to 77937 and 1, to get
77937 = 1 x 77937 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77937 is 1
Notice that 1 = HCF(77937,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 2610, 7639, 77937?
Answer: HCF of 2610, 7639, 77937 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2610, 7639, 77937 using Euclid's Algorithm?
Answer: For arbitrary numbers 2610, 7639, 77937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.